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Finding the Third Proportional to 55,779,377 and 121,436,097

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Solution

The third proportional to 55,779,377 and 121,436,097 is: 264,375,947.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,779,377 : 121,436,097 = 121,436,097 : x
  2. Step 2: Convert to fraction form
    55,779,377/121,436,097 = 121,436,097/x
  3. Step 3: Cross multiply
    55,779,377x = 121,436,097 × 121,436,097
  4. Step 4: Simplify right side
    55,779,377x = 14,746,725,654,593,408
  5. Step 5: Solve for x
    x = 14,746,725,654,593,408/55,779,377
  6. Step 6: Final answer
    x = 264,375,947.67

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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.