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Finding the Third Proportional to 1,263,887,930 and 1,677,044,415

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Solution

The third proportional to 1,263,887,930 and 1,677,044,415 is: 2,225,258,983.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263,887,930 : 1,677,044,415 = 1,677,044,415 : x
  2. Step 2: Convert to fraction form
    1,263,887,930/1,677,044,415 = 1,677,044,415/x
  3. Step 3: Cross multiply
    1,263,887,930x = 1,677,044,415 × 1,677,044,415
  4. Step 4: Simplify right side
    1,263,887,930x = 2,812,477,969,882,692,096
  5. Step 5: Solve for x
    x = 2,812,477,969,882,692,096/1,263,887,930
  6. Step 6: Final answer
    x = 2,225,258,983.11

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.