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Finding the Third Proportional to 52,706,315,451.08 and 80,294,425,807.90

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Solution

The third proportional to 52,706,315,451.08 and 80,294,425,807.90 is: 122,323,003,621.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,706,315,451.08 : 80,294,425,807.90 = 80,294,425,807.90 : x
  2. Step 2: Convert to fraction form
    52,706,315,451.08/80,294,425,807.90 = 80,294,425,807.90/x
  3. Step 3: Cross multiply
    52,706,315,451.08x = 80,294,425,807.90 × 80,294,425,807.90
  4. Step 4: Simplify right side
    52,706,315,451.08x = 6,447,194,815,819,555,012,608
  5. Step 5: Solve for x
    x = 6,447,194,815,819,555,012,608/52,706,315,451.08
  6. Step 6: Final answer
    x = 122,323,003,621.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.