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Finding the Third Proportional to 15,947,521 and 34,781,678

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Solution

The third proportional to 15,947,521 and 34,781,678 is: 75,859,133.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,947,521 : 34,781,678 = 34,781,678 : x
  2. Step 2: Convert to fraction form
    15,947,521/34,781,678 = 34,781,678/x
  3. Step 3: Cross multiply
    15,947,521x = 34,781,678 × 34,781,678
  4. Step 4: Simplify right side
    15,947,521x = 1,209,765,124,495,684
  5. Step 5: Solve for x
    x = 1,209,765,124,495,684/15,947,521
  6. Step 6: Final answer
    x = 75,859,133.50

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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.