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Finding the Third Proportional to 2,781,495,220 and 5,894,609,588

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Solution

The third proportional to 2,781,495,220 and 5,894,609,588 is: 12,491,994,214.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781,495,220 : 5,894,609,588 = 5,894,609,588 : x
  2. Step 2: Convert to fraction form
    2,781,495,220/5,894,609,588 = 5,894,609,588/x
  3. Step 3: Cross multiply
    2,781,495,220x = 5,894,609,588 × 5,894,609,588
  4. Step 4: Simplify right side
    2,781,495,220x = 34,746,422,194,941,530,112
  5. Step 5: Solve for x
    x = 34,746,422,194,941,530,112/2,781,495,220
  6. Step 6: Final answer
    x = 12,491,994,214.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.