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Finding the Third Proportional to 24,948,184 and 53,746,352

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Solution

The third proportional to 24,948,184 and 53,746,352 is: 115,786,798.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,948,184 : 53,746,352 = 53,746,352 : x
  2. Step 2: Convert to fraction form
    24,948,184/53,746,352 = 53,746,352/x
  3. Step 3: Cross multiply
    24,948,184x = 53,746,352 × 53,746,352
  4. Step 4: Simplify right side
    24,948,184x = 2,888,670,353,307,904
  5. Step 5: Solve for x
    x = 2,888,670,353,307,904/24,948,184
  6. Step 6: Final answer
    x = 115,786,798.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.