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Finding the Third Proportional to 615,625,803,703.50 and 1,323,901,173,963.50

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Solution

The third proportional to 615,625,803,703.50 and 1,323,901,173,963.50 is: 2,847,044,922,220.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,625,803,703.50 : 1,323,901,173,963.50 = 1,323,901,173,963.50 : x
  2. Step 2: Convert to fraction form
    615,625,803,703.50/1,323,901,173,963.50 = 1,323,901,173,963.50/x
  3. Step 3: Cross multiply
    615,625,803,703.50x = 1,323,901,173,963.50 × 1,323,901,173,963.50
  4. Step 4: Simplify right side
    615,625,803,703.50x = 1,752,714,318,421,933,519,011,840
  5. Step 5: Solve for x
    x = 1,752,714,318,421,933,519,011,840/615,625,803,703.50
  6. Step 6: Final answer
    x = 2,847,044,922,220.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.