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Finding the Third Proportional to 10,186,720 and 15,280,080

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Solution

The third proportional to 10,186,720 and 15,280,080 is: 22,920,120

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,186,720 : 15,280,080 = 15,280,080 : x
  2. Step 2: Convert to fraction form
    10,186,720/15,280,080 = 15,280,080/x
  3. Step 3: Cross multiply
    10,186,720x = 15,280,080 × 15,280,080
  4. Step 4: Simplify right side
    10,186,720x = 233,480,844,806,400
  5. Step 5: Solve for x
    x = 233,480,844,806,400/10,186,720
  6. Step 6: Final answer
    x = 22,920,120

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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.