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Finding the Third Proportional to 29,641,069.88 and 64,230,146.09

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Solution

The third proportional to 29,641,069.88 and 64,230,146.09 is: 139,182,279.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,641,069.88 : 64,230,146.09 = 64,230,146.09 : x
  2. Step 2: Convert to fraction form
    29,641,069.88/64,230,146.09 = 64,230,146.09/x
  3. Step 3: Cross multiply
    29,641,069.88x = 64,230,146.09 × 64,230,146.09
  4. Step 4: Simplify right side
    29,641,069.88x = 4,125,511,667,349,460.50
  5. Step 5: Solve for x
    x = 4,125,511,667,349,460.50/29,641,069.88
  6. Step 6: Final answer
    x = 139,182,279.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.