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Finding the Third Proportional to 29,773,901.25 and 64,845,024.75

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Solution

The third proportional to 29,773,901.25 and 64,845,024.75 is: 141,226,949.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,773,901.25 : 64,845,024.75 = 64,845,024.75 : x
  2. Step 2: Convert to fraction form
    29,773,901.25/64,845,024.75 = 64,845,024.75/x
  3. Step 3: Cross multiply
    29,773,901.25x = 64,845,024.75 × 64,845,024.75
  4. Step 4: Simplify right side
    29,773,901.25x = 4,204,877,234,828,112.50
  5. Step 5: Solve for x
    x = 4,204,877,234,828,112.50/29,773,901.25
  6. Step 6: Final answer
    x = 141,226,949.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.