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Finding the Third Proportional to 431,836,407 and 932,484,015

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Solution

The third proportional to 431,836,407 and 932,484,015 is: 2,013,555,189.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,836,407 : 932,484,015 = 932,484,015 : x
  2. Step 2: Convert to fraction form
    431,836,407/932,484,015 = 932,484,015/x
  3. Step 3: Cross multiply
    431,836,407x = 932,484,015 × 932,484,015
  4. Step 4: Simplify right side
    431,836,407x = 869,526,438,230,520,192
  5. Step 5: Solve for x
    x = 869,526,438,230,520,192/431,836,407
  6. Step 6: Final answer
    x = 2,013,555,189.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.