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Finding the Third Proportional to 938,534,522 and 1,419,881,463

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Solution

The third proportional to 938,534,522 and 1,419,881,463 is: 2,148,097,189.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,534,522 : 1,419,881,463 = 1,419,881,463 : x
  2. Step 2: Convert to fraction form
    938,534,522/1,419,881,463 = 1,419,881,463/x
  3. Step 3: Cross multiply
    938,534,522x = 1,419,881,463 × 1,419,881,463
  4. Step 4: Simplify right side
    938,534,522x = 2,016,063,368,971,020,288
  5. Step 5: Solve for x
    x = 2,016,063,368,971,020,288/938,534,522
  6. Step 6: Final answer
    x = 2,148,097,189.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.