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Finding the Third Proportional to 52,984,973.11 and 71,564,893.03

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Solution

The third proportional to 52,984,973.11 and 71,564,893.03 is: 96,660,121.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,984,973.11 : 71,564,893.03 = 71,564,893.03 : x
  2. Step 2: Convert to fraction form
    52,984,973.11/71,564,893.03 = 71,564,893.03/x
  3. Step 3: Cross multiply
    52,984,973.11x = 71,564,893.03 × 71,564,893.03
  4. Step 4: Simplify right side
    52,984,973.11x = 5,121,533,914,574,255
  5. Step 5: Solve for x
    x = 5,121,533,914,574,255/52,984,973.11
  6. Step 6: Final answer
    x = 96,660,121.05

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.