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Finding the Third Proportional to 6,502,120.50 and 10,125,478.50

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Solution

The third proportional to 6,502,120.50 and 10,125,478.50 is: 15,767,981.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502,120.50 : 10,125,478.50 = 10,125,478.50 : x
  2. Step 2: Convert to fraction form
    6,502,120.50/10,125,478.50 = 10,125,478.50/x
  3. Step 3: Cross multiply
    6,502,120.50x = 10,125,478.50 × 10,125,478.50
  4. Step 4: Simplify right side
    6,502,120.50x = 102,525,314,853,962.25
  5. Step 5: Solve for x
    x = 102,525,314,853,962.25/6,502,120.50
  6. Step 6: Final answer
    x = 15,767,981.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.