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Finding the Third Proportional to 5,034,897 and 7,743,465

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Solution

The third proportional to 5,034,897 and 7,743,465 is: 11,909,131.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034,897 : 7,743,465 = 7,743,465 : x
  2. Step 2: Convert to fraction form
    5,034,897/7,743,465 = 7,743,465/x
  3. Step 3: Cross multiply
    5,034,897x = 7,743,465 × 7,743,465
  4. Step 4: Simplify right side
    5,034,897x = 59,961,250,206,225
  5. Step 5: Solve for x
    x = 59,961,250,206,225/5,034,897
  6. Step 6: Final answer
    x = 11,909,131.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.