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Finding the Third Proportional to 24,455,827.13 and 52,742,070

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Solution

The third proportional to 24,455,827.13 and 52,742,070 is: 113,744,913.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,455,827.13 : 52,742,070 = 52,742,070 : x
  2. Step 2: Convert to fraction form
    24,455,827.13/52,742,070 = 52,742,070/x
  3. Step 3: Cross multiply
    24,455,827.13x = 52,742,070 × 52,742,070
  4. Step 4: Simplify right side
    24,455,827.13x = 2,781,725,947,884,900
  5. Step 5: Solve for x
    x = 2,781,725,947,884,900/24,455,827.13
  6. Step 6: Final answer
    x = 113,744,913.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.