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Finding the Third Proportional to 431,843,020 and 932,496,511

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Solution

The third proportional to 431,843,020 and 932,496,511 is: 2,013,578,320.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,843,020 : 932,496,511 = 932,496,511 : x
  2. Step 2: Convert to fraction form
    431,843,020/932,496,511 = 932,496,511/x
  3. Step 3: Cross multiply
    431,843,020x = 932,496,511 × 932,496,511
  4. Step 4: Simplify right side
    431,843,020x = 869,549,743,027,173,120
  5. Step 5: Solve for x
    x = 869,549,743,027,173,120/431,843,020
  6. Step 6: Final answer
    x = 2,013,578,320.72

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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.