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Finding the Third Proportional to 404,503,341,060.25 and 880,215,564,873.50

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Solution

The third proportional to 404,503,341,060.25 and 880,215,564,873.50 is: 1,915,384,527,145.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,503,341,060.25 : 880,215,564,873.50 = 880,215,564,873.50 : x
  2. Step 2: Convert to fraction form
    404,503,341,060.25/880,215,564,873.50 = 880,215,564,873.50/x
  3. Step 3: Cross multiply
    404,503,341,060.25x = 880,215,564,873.50 × 880,215,564,873.50
  4. Step 4: Simplify right side
    404,503,341,060.25x = 774,779,440,645,574,752,206,848
  5. Step 5: Solve for x
    x = 774,779,440,645,574,752,206,848/404,503,341,060.25
  6. Step 6: Final answer
    x = 1,915,384,527,145.78

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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.