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Finding the Third Proportional to 10,581,926 and 15,831,705

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Solution

The third proportional to 10,581,926 and 15,831,705 is: 23,685,941.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,581,926 : 15,831,705 = 15,831,705 : x
  2. Step 2: Convert to fraction form
    10,581,926/15,831,705 = 15,831,705/x
  3. Step 3: Cross multiply
    10,581,926x = 15,831,705 × 15,831,705
  4. Step 4: Simplify right side
    10,581,926x = 250,642,883,207,025
  5. Step 5: Solve for x
    x = 250,642,883,207,025/10,581,926
  6. Step 6: Final answer
    x = 23,685,941.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.