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Finding the Third Proportional to 55,657,534 and 121,195,934

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Solution

The third proportional to 55,657,534 and 121,195,934 is: 263,907,747.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,657,534 : 121,195,934 = 121,195,934 : x
  2. Step 2: Convert to fraction form
    55,657,534/121,195,934 = 121,195,934/x
  3. Step 3: Cross multiply
    55,657,534x = 121,195,934 × 121,195,934
  4. Step 4: Simplify right side
    55,657,534x = 14,688,454,418,132,356
  5. Step 5: Solve for x
    x = 14,688,454,418,132,356/55,657,534
  6. Step 6: Final answer
    x = 263,907,747.30

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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.