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Finding the Third Proportional to 29,761,911 and 63,775,323

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Solution

The third proportional to 29,761,911 and 63,775,323 is: 136,660,976.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,761,911 : 63,775,323 = 63,775,323 : x
  2. Step 2: Convert to fraction form
    29,761,911/63,775,323 = 63,775,323/x
  3. Step 3: Cross multiply
    29,761,911x = 63,775,323 × 63,775,323
  4. Step 4: Simplify right side
    29,761,911x = 4,067,291,823,754,329
  5. Step 5: Solve for x
    x = 4,067,291,823,754,329/29,761,911
  6. Step 6: Final answer
    x = 136,660,976.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.