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Finding the Third Proportional to 334,788,993 and 709,404,711

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Solution

The third proportional to 334,788,993 and 709,404,711 is: 1,503,200,686.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,788,993 : 709,404,711 = 709,404,711 : x
  2. Step 2: Convert to fraction form
    334,788,993/709,404,711 = 709,404,711/x
  3. Step 3: Cross multiply
    334,788,993x = 709,404,711 × 709,404,711
  4. Step 4: Simplify right side
    334,788,993x = 503,255,043,988,993,536
  5. Step 5: Solve for x
    x = 503,255,043,988,993,536/334,788,993
  6. Step 6: Final answer
    x = 1,503,200,686.14

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.