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Finding the Third Proportional to 4,853,692.13 and 10,532,419.88

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Solution

The third proportional to 4,853,692.13 and 10,532,419.88 is: 22,855,151.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,853,692.13 : 10,532,419.88 = 10,532,419.88 : x
  2. Step 2: Convert to fraction form
    4,853,692.13/10,532,419.88 = 10,532,419.88/x
  3. Step 3: Cross multiply
    4,853,692.13x = 10,532,419.88 × 10,532,419.88
  4. Step 4: Simplify right side
    4,853,692.13x = 110,931,868,423,295.02
  5. Step 5: Solve for x
    x = 110,931,868,423,295.02/4,853,692.13
  6. Step 6: Final answer
    x = 22,855,151.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.