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Finding the Third Proportional to 14,582,234 and 31,909,360

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Solution

The third proportional to 14,582,234 and 31,909,360 is: 69,825,189.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,582,234 : 31,909,360 = 31,909,360 : x
  2. Step 2: Convert to fraction form
    14,582,234/31,909,360 = 31,909,360/x
  3. Step 3: Cross multiply
    14,582,234x = 31,909,360 × 31,909,360
  4. Step 4: Simplify right side
    14,582,234x = 1,018,207,255,609,600
  5. Step 5: Solve for x
    x = 1,018,207,255,609,600/14,582,234
  6. Step 6: Final answer
    x = 69,825,189.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.