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Finding the Third Proportional to 10,539,450 and 15,809,310

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Solution

The third proportional to 10,539,450 and 15,809,310 is: 23,714,167.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,539,450 : 15,809,310 = 15,809,310 : x
  2. Step 2: Convert to fraction form
    10,539,450/15,809,310 = 15,809,310/x
  3. Step 3: Cross multiply
    10,539,450x = 15,809,310 × 15,809,310
  4. Step 4: Simplify right side
    10,539,450x = 249,934,282,676,100
  5. Step 5: Solve for x
    x = 249,934,282,676,100/10,539,450
  6. Step 6: Final answer
    x = 23,714,167.50

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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.