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Finding the Third Proportional to 359,291,493 and 779,566,032

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Solution

The third proportional to 359,291,493 and 779,566,032 is: 1,691,448,893.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,291,493 : 779,566,032 = 779,566,032 : x
  2. Step 2: Convert to fraction form
    359,291,493/779,566,032 = 779,566,032/x
  3. Step 3: Cross multiply
    359,291,493x = 779,566,032 × 779,566,032
  4. Step 4: Simplify right side
    359,291,493x = 607,723,198,248,225,024
  5. Step 5: Solve for x
    x = 607,723,198,248,225,024/359,291,493
  6. Step 6: Final answer
    x = 1,691,448,893.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.