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Finding the Third Proportional to 342,071,966 and 746,868,550

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Solution

The third proportional to 342,071,966 and 746,868,550 is: 1,630,687,944.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,071,966 : 746,868,550 = 746,868,550 : x
  2. Step 2: Convert to fraction form
    342,071,966/746,868,550 = 746,868,550/x
  3. Step 3: Cross multiply
    342,071,966x = 746,868,550 × 746,868,550
  4. Step 4: Simplify right side
    342,071,966x = 557,812,630,979,102,528
  5. Step 5: Solve for x
    x = 557,812,630,979,102,528/342,071,966
  6. Step 6: Final answer
    x = 1,630,687,944.12

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Why These Related Problems?

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