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Finding the Third Proportional to 7,730,432 and 16,396,288

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Solution

The third proportional to 7,730,432 and 16,396,288 is: 34,776,615.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730,432 : 16,396,288 = 16,396,288 : x
  2. Step 2: Convert to fraction form
    7,730,432/16,396,288 = 16,396,288/x
  3. Step 3: Cross multiply
    7,730,432x = 16,396,288 × 16,396,288
  4. Step 4: Simplify right side
    7,730,432x = 268,838,260,178,944
  5. Step 5: Solve for x
    x = 268,838,260,178,944/7,730,432
  6. Step 6: Final answer
    x = 34,776,615.35

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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.