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Finding the Third Proportional to 34,079,069 and 51,473,421

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Solution

The third proportional to 34,079,069 and 51,473,421 is: 77,746,051.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,079,069 : 51,473,421 = 51,473,421 : x
  2. Step 2: Convert to fraction form
    34,079,069/51,473,421 = 51,473,421/x
  3. Step 3: Cross multiply
    34,079,069x = 51,473,421 × 51,473,421
  4. Step 4: Simplify right side
    34,079,069x = 2,649,513,069,443,241
  5. Step 5: Solve for x
    x = 2,649,513,069,443,241/34,079,069
  6. Step 6: Final answer
    x = 77,746,051.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.