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Finding the Third Proportional to 52,849,543.50 and 80,853,898.50

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Solution

The third proportional to 52,849,543.50 and 80,853,898.50 is: 123,697,433.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,849,543.50 : 80,853,898.50 = 80,853,898.50 : x
  2. Step 2: Convert to fraction form
    52,849,543.50/80,853,898.50 = 80,853,898.50/x
  3. Step 3: Cross multiply
    52,849,543.50x = 80,853,898.50 × 80,853,898.50
  4. Step 4: Simplify right side
    52,849,543.50x = 6,537,352,902,648,302
  5. Step 5: Solve for x
    x = 6,537,352,902,648,302/52,849,543.50
  6. Step 6: Final answer
    x = 123,697,433.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.