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Finding the Third Proportional to 615,625,803,796 and 1,323,901,174,152

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Solution

The third proportional to 615,625,803,796 and 1,323,901,174,152 is: 2,847,044,922,603.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,625,803,796 : 1,323,901,174,152 = 1,323,901,174,152 : x
  2. Step 2: Convert to fraction form
    615,625,803,796/1,323,901,174,152 = 1,323,901,174,152/x
  3. Step 3: Cross multiply
    615,625,803,796x = 1,323,901,174,152 × 1,323,901,174,152
  4. Step 4: Simplify right side
    615,625,803,796x = 1,752,714,318,921,044,152,287,232
  5. Step 5: Solve for x
    x = 1,752,714,318,921,044,152,287,232/615,625,803,796
  6. Step 6: Final answer
    x = 2,847,044,922,603.41

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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.