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Finding the Third Proportional to 615,625,803,773 and 1,323,901,174,102

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Solution

The third proportional to 615,625,803,773 and 1,323,901,174,102 is: 2,847,044,922,494.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,625,803,773 : 1,323,901,174,102 = 1,323,901,174,102 : x
  2. Step 2: Convert to fraction form
    615,625,803,773/1,323,901,174,102 = 1,323,901,174,102/x
  3. Step 3: Cross multiply
    615,625,803,773x = 1,323,901,174,102 × 1,323,901,174,102
  4. Step 4: Simplify right side
    615,625,803,773x = 1,752,714,318,788,654,201,307,136
  5. Step 5: Solve for x
    x = 1,752,714,318,788,654,201,307,136/615,625,803,773
  6. Step 6: Final answer
    x = 2,847,044,922,494.73

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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.