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Finding the Third Proportional to 32,854,897 and 51,074,417

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Solution

The third proportional to 32,854,897 and 51,074,417 is: 79,397,481.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,854,897 : 51,074,417 = 51,074,417 : x
  2. Step 2: Convert to fraction form
    32,854,897/51,074,417 = 51,074,417/x
  3. Step 3: Cross multiply
    32,854,897x = 51,074,417 × 51,074,417
  4. Step 4: Simplify right side
    32,854,897x = 2,608,596,071,889,889
  5. Step 5: Solve for x
    x = 2,608,596,071,889,889/32,854,897
  6. Step 6: Final answer
    x = 79,397,481.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.