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Finding the Third Proportional to 19,750,800.80 and 42,413,732.58

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Solution

The third proportional to 19,750,800.80 and 42,413,732.58 is: 91,081,102.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,750,800.80 : 42,413,732.58 = 42,413,732.58 : x
  2. Step 2: Convert to fraction form
    19,750,800.80/42,413,732.58 = 42,413,732.58/x
  3. Step 3: Cross multiply
    19,750,800.80x = 42,413,732.58 × 42,413,732.58
  4. Step 4: Simplify right side
    19,750,800.80x = 1,798,924,711,208,617.25
  5. Step 5: Solve for x
    x = 1,798,924,711,208,617.25/19,750,800.80
  6. Step 6: Final answer
    x = 91,081,102.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.