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Finding the Third Proportional to 313,266,788 and 663,877,548

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Solution

The third proportional to 313,266,788 and 663,877,548 is: 1,406,894,747.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,266,788 : 663,877,548 = 663,877,548 : x
  2. Step 2: Convert to fraction form
    313,266,788/663,877,548 = 663,877,548/x
  3. Step 3: Cross multiply
    313,266,788x = 663,877,548 × 663,877,548
  4. Step 4: Simplify right side
    313,266,788x = 440,733,398,738,492,288
  5. Step 5: Solve for x
    x = 440,733,398,738,492,288/313,266,788
  6. Step 6: Final answer
    x = 1,406,894,747.93

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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.