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Finding the Third Proportional to 342,071,970 and 746,868,558

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Solution

The third proportional to 342,071,970 and 746,868,558 is: 1,630,687,959.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,071,970 : 746,868,558 = 746,868,558 : x
  2. Step 2: Convert to fraction form
    342,071,970/746,868,558 = 746,868,558/x
  3. Step 3: Cross multiply
    342,071,970x = 746,868,558 × 746,868,558
  4. Step 4: Simplify right side
    342,071,970x = 557,812,642,928,999,360
  5. Step 5: Solve for x
    x = 557,812,642,928,999,360/342,071,970
  6. Step 6: Final answer
    x = 1,630,687,959.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.