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Finding the Third Proportional to 642,881,214 and 1,395,357,372

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Solution

The third proportional to 642,881,214 and 1,395,357,372 is: 3,028,587,790.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,881,214 : 1,395,357,372 = 1,395,357,372 : x
  2. Step 2: Convert to fraction form
    642,881,214/1,395,357,372 = 1,395,357,372/x
  3. Step 3: Cross multiply
    642,881,214x = 1,395,357,372 × 1,395,357,372
  4. Step 4: Simplify right side
    642,881,214x = 1,947,022,195,594,746,368
  5. Step 5: Solve for x
    x = 1,947,022,195,594,746,368/642,881,214
  6. Step 6: Final answer
    x = 3,028,587,790.71

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