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Finding the Third Proportional to 15,744,476 and 25,709,310

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Solution

The third proportional to 15,744,476 and 25,709,310 is: 41,980,985.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,744,476 : 25,709,310 = 25,709,310 : x
  2. Step 2: Convert to fraction form
    15,744,476/25,709,310 = 25,709,310/x
  3. Step 3: Cross multiply
    15,744,476x = 25,709,310 × 25,709,310
  4. Step 4: Simplify right side
    15,744,476x = 660,968,620,676,100
  5. Step 5: Solve for x
    x = 660,968,620,676,100/15,744,476
  6. Step 6: Final answer
    x = 41,980,985.63

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.