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Finding the Third Proportional to 7,677,432 and 16,417,584

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Solution

The third proportional to 7,677,432 and 16,417,584 is: 35,107,711.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677,432 : 16,417,584 = 16,417,584 : x
  2. Step 2: Convert to fraction form
    7,677,432/16,417,584 = 16,417,584/x
  3. Step 3: Cross multiply
    7,677,432x = 16,417,584 × 16,417,584
  4. Step 4: Simplify right side
    7,677,432x = 269,537,064,397,056
  5. Step 5: Solve for x
    x = 269,537,064,397,056/7,677,432
  6. Step 6: Final answer
    x = 35,107,711.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.