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Finding the Third Proportional to 292,349,071 and 650,062,514

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Solution

The third proportional to 292,349,071 and 650,062,514 is: 1,445,468,154.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,349,071 : 650,062,514 = 650,062,514 : x
  2. Step 2: Convert to fraction form
    292,349,071/650,062,514 = 650,062,514/x
  3. Step 3: Cross multiply
    292,349,071x = 650,062,514 × 650,062,514
  4. Step 4: Simplify right side
    292,349,071x = 422,581,272,108,000,192
  5. Step 5: Solve for x
    x = 422,581,272,108,000,192/292,349,071
  6. Step 6: Final answer
    x = 1,445,468,154.43

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.