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Finding the Third Proportional to 45,676,899 and 67,253,692.50

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Solution

The third proportional to 45,676,899 and 67,253,692.50 is: 99,022,903.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,676,899 : 67,253,692.50 = 67,253,692.50 : x
  2. Step 2: Convert to fraction form
    45,676,899/67,253,692.50 = 67,253,692.50/x
  3. Step 3: Cross multiply
    45,676,899x = 67,253,692.50 × 67,253,692.50
  4. Step 4: Simplify right side
    45,676,899x = 4,523,059,154,884,556
  5. Step 5: Solve for x
    x = 4,523,059,154,884,556/45,676,899
  6. Step 6: Final answer
    x = 99,022,903.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.