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Finding the Third Proportional to 10,209,415.50 and 15,816,070.13

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Solution

The third proportional to 10,209,415.50 and 15,816,070.13 is: 24,501,703.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,209,415.50 : 15,816,070.13 = 15,816,070.13 : x
  2. Step 2: Convert to fraction form
    10,209,415.50/15,816,070.13 = 15,816,070.13/x
  3. Step 3: Cross multiply
    10,209,415.50x = 15,816,070.13 × 15,816,070.13
  4. Step 4: Simplify right side
    10,209,415.50x = 250,148,074,198,917.50
  5. Step 5: Solve for x
    x = 250,148,074,198,917.50/10,209,415.50
  6. Step 6: Final answer
    x = 24,501,703.77

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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.