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Finding the Third Proportional to 53,832,461.63 and 83,516,710.50

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Solution

The third proportional to 53,832,461.63 and 83,516,710.50 is: 129,569,421.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,832,461.63 : 83,516,710.50 = 83,516,710.50 : x
  2. Step 2: Convert to fraction form
    53,832,461.63/83,516,710.50 = 83,516,710.50/x
  3. Step 3: Cross multiply
    53,832,461.63x = 83,516,710.50 × 83,516,710.50
  4. Step 4: Simplify right side
    53,832,461.63x = 6,975,040,932,740,810
  5. Step 5: Solve for x
    x = 6,975,040,932,740,810/53,832,461.63
  6. Step 6: Final answer
    x = 129,569,421.91

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.