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Finding the Third Proportional to 7,380,634 and 15,974,320

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Solution

The third proportional to 7,380,634 and 15,974,320 is: 34,574,116.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,380,634 : 15,974,320 = 15,974,320 : x
  2. Step 2: Convert to fraction form
    7,380,634/15,974,320 = 15,974,320/x
  3. Step 3: Cross multiply
    7,380,634x = 15,974,320 × 15,974,320
  4. Step 4: Simplify right side
    7,380,634x = 255,178,899,462,400
  5. Step 5: Solve for x
    x = 255,178,899,462,400/7,380,634
  6. Step 6: Final answer
    x = 34,574,116.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.