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Finding the Third Proportional to 404,503,341,062 and 880,215,564,876.50

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Solution

The third proportional to 404,503,341,062 and 880,215,564,876.50 is: 1,915,384,527,150.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,503,341,062 : 880,215,564,876.50 = 880,215,564,876.50 : x
  2. Step 2: Convert to fraction form
    404,503,341,062/880,215,564,876.50 = 880,215,564,876.50/x
  3. Step 3: Cross multiply
    404,503,341,062x = 880,215,564,876.50 × 880,215,564,876.50
  4. Step 4: Simplify right side
    404,503,341,062x = 774,779,440,650,855,951,368,192
  5. Step 5: Solve for x
    x = 774,779,440,650,855,951,368,192/404,503,341,062
  6. Step 6: Final answer
    x = 1,915,384,527,150.55

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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.