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Finding the Third Proportional to 24,565,597 and 52,582,015

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Solution

The third proportional to 24,565,597 and 52,582,015 is: 112,550,421.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,565,597 : 52,582,015 = 52,582,015 : x
  2. Step 2: Convert to fraction form
    24,565,597/52,582,015 = 52,582,015/x
  3. Step 3: Cross multiply
    24,565,597x = 52,582,015 × 52,582,015
  4. Step 4: Simplify right side
    24,565,597x = 2,764,868,301,460,225
  5. Step 5: Solve for x
    x = 2,764,868,301,460,225/24,565,597
  6. Step 6: Final answer
    x = 112,550,421.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.