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Finding the Third Proportional to 714,897,314 and 1,542,709,924

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Solution

The third proportional to 714,897,314 and 1,542,709,924 is: 3,329,084,979.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,897,314 : 1,542,709,924 = 1,542,709,924 : x
  2. Step 2: Convert to fraction form
    714,897,314/1,542,709,924 = 1,542,709,924/x
  3. Step 3: Cross multiply
    714,897,314x = 1,542,709,924 × 1,542,709,924
  4. Step 4: Simplify right side
    714,897,314x = 2,379,953,909,608,086,016
  5. Step 5: Solve for x
    x = 2,379,953,909,608,086,016/714,897,314
  6. Step 6: Final answer
    x = 3,329,084,979.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.