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Finding the Third Proportional to 359,709,762 and 747,694,518

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Solution

The third proportional to 359,709,762 and 747,694,518 is: 1,554,161,580.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,709,762 : 747,694,518 = 747,694,518 : x
  2. Step 2: Convert to fraction form
    359,709,762/747,694,518 = 747,694,518/x
  3. Step 3: Cross multiply
    359,709,762x = 747,694,518 × 747,694,518
  4. Step 4: Simplify right side
    359,709,762x = 559,047,092,247,252,352
  5. Step 5: Solve for x
    x = 559,047,092,247,252,352/359,709,762
  6. Step 6: Final answer
    x = 1,554,161,580.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.