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Finding the Third Proportional to 24,516,106.31 and 53,814,569.06

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Solution

The third proportional to 24,516,106.31 and 53,814,569.06 is: 118,126,745.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,516,106.31 : 53,814,569.06 = 53,814,569.06 : x
  2. Step 2: Convert to fraction form
    24,516,106.31/53,814,569.06 = 53,814,569.06/x
  3. Step 3: Cross multiply
    24,516,106.31x = 53,814,569.06 × 53,814,569.06
  4. Step 4: Simplify right side
    24,516,106.31x = 2,896,007,843,382,582
  5. Step 5: Solve for x
    x = 2,896,007,843,382,582/24,516,106.31
  6. Step 6: Final answer
    x = 118,126,745.19

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.