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Finding the Third Proportional to 24,677,153 and 39,406,851

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Solution

The third proportional to 24,677,153 and 39,406,851 is: 62,928,649.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,677,153 : 39,406,851 = 39,406,851 : x
  2. Step 2: Convert to fraction form
    24,677,153/39,406,851 = 39,406,851/x
  3. Step 3: Cross multiply
    24,677,153x = 39,406,851 × 39,406,851
  4. Step 4: Simplify right side
    24,677,153x = 1,552,899,905,736,201
  5. Step 5: Solve for x
    x = 1,552,899,905,736,201/24,677,153
  6. Step 6: Final answer
    x = 62,928,649.25

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.