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Finding the Third Proportional to 402,145,110,356 and 599,730,310,110

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Solution

The third proportional to 402,145,110,356 and 599,730,310,110 is: 894,394,673,967.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,145,110,356 : 599,730,310,110 = 599,730,310,110 : x
  2. Step 2: Convert to fraction form
    402,145,110,356/599,730,310,110 = 599,730,310,110/x
  3. Step 3: Cross multiply
    402,145,110,356x = 599,730,310,110 × 599,730,310,110
  4. Step 4: Simplify right side
    402,145,110,356x = 359,676,444,864,636,799,418,368
  5. Step 5: Solve for x
    x = 359,676,444,864,636,799,418,368/402,145,110,356
  6. Step 6: Final answer
    x = 894,394,673,967.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.