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Finding the Third Proportional to 56,023,498 and 121,862,900

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Solution

The third proportional to 56,023,498 and 121,862,900 is: 265,077,457.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,023,498 : 121,862,900 = 121,862,900 : x
  2. Step 2: Convert to fraction form
    56,023,498/121,862,900 = 121,862,900/x
  3. Step 3: Cross multiply
    56,023,498x = 121,862,900 × 121,862,900
  4. Step 4: Simplify right side
    56,023,498x = 14,850,566,396,410,000
  5. Step 5: Solve for x
    x = 14,850,566,396,410,000/56,023,498
  6. Step 6: Final answer
    x = 265,077,457.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.