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Finding the Third Proportional to 31,001,076 and 51,046,541.44

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Solution

The third proportional to 31,001,076 and 51,046,541.44 is: 84,053,514.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,001,076 : 51,046,541.44 = 51,046,541.44 : x
  2. Step 2: Convert to fraction form
    31,001,076/51,046,541.44 = 51,046,541.44/x
  3. Step 3: Cross multiply
    31,001,076x = 51,046,541.44 × 51,046,541.44
  4. Step 4: Simplify right side
    31,001,076x = 2,605,749,392,730,404.50
  5. Step 5: Solve for x
    x = 2,605,749,392,730,404.50/31,001,076
  6. Step 6: Final answer
    x = 84,053,514.55

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.