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Finding the Third Proportional to 318,845,251.13 and 476,607,943.69

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Solution

The third proportional to 318,845,251.13 and 476,607,943.69 is: 712,430,657.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,845,251.13 : 476,607,943.69 = 476,607,943.69 : x
  2. Step 2: Convert to fraction form
    318,845,251.13/476,607,943.69 = 476,607,943.69/x
  3. Step 3: Cross multiply
    318,845,251.13x = 476,607,943.69 × 476,607,943.69
  4. Step 4: Simplify right side
    318,845,251.13x = 227,155,131,986,027,168
  5. Step 5: Solve for x
    x = 227,155,131,986,027,168/318,845,251.13
  6. Step 6: Final answer
    x = 712,430,657.77

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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.