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Finding the Third Proportional to 291,785,342 and 631,990,972

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Solution

The third proportional to 291,785,342 and 631,990,972 is: 1,368,857,619.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,785,342 : 631,990,972 = 631,990,972 : x
  2. Step 2: Convert to fraction form
    291,785,342/631,990,972 = 631,990,972/x
  3. Step 3: Cross multiply
    291,785,342x = 631,990,972 × 631,990,972
  4. Step 4: Simplify right side
    291,785,342x = 399,412,588,689,504,768
  5. Step 5: Solve for x
    x = 399,412,588,689,504,768/291,785,342
  6. Step 6: Final answer
    x = 1,368,857,619.62

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Why These Related Problems?

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