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Finding the Third Proportional to 918,733,914 and 2,016,031,498

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Solution

The third proportional to 918,733,914 and 2,016,031,498 is: 4,423,895,688.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,733,914 : 2,016,031,498 = 2,016,031,498 : x
  2. Step 2: Convert to fraction form
    918,733,914/2,016,031,498 = 2,016,031,498/x
  3. Step 3: Cross multiply
    918,733,914x = 2,016,031,498 × 2,016,031,498
  4. Step 4: Simplify right side
    918,733,914x = 4,064,383,000,928,123,904
  5. Step 5: Solve for x
    x = 4,064,383,000,928,123,904/918,733,914
  6. Step 6: Final answer
    x = 4,423,895,688.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.