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Finding the Third Proportional to 10,272,771 and 15,928,528.50

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Solution

The third proportional to 10,272,771 and 15,928,528.50 is: 24,698,109.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,272,771 : 15,928,528.50 = 15,928,528.50 : x
  2. Step 2: Convert to fraction form
    10,272,771/15,928,528.50 = 15,928,528.50/x
  3. Step 3: Cross multiply
    10,272,771x = 15,928,528.50 × 15,928,528.50
  4. Step 4: Simplify right side
    10,272,771x = 253,718,020,175,312.25
  5. Step 5: Solve for x
    x = 253,718,020,175,312.25/10,272,771
  6. Step 6: Final answer
    x = 24,698,109.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.