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Finding the Third Proportional to 649,748,206 and 1,418,561,306

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Solution

The third proportional to 649,748,206 and 1,418,561,306 is: 3,097,070,773.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,748,206 : 1,418,561,306 = 1,418,561,306 : x
  2. Step 2: Convert to fraction form
    649,748,206/1,418,561,306 = 1,418,561,306/x
  3. Step 3: Cross multiply
    649,748,206x = 1,418,561,306 × 1,418,561,306
  4. Step 4: Simplify right side
    649,748,206x = 2,012,316,178,880,425,728
  5. Step 5: Solve for x
    x = 2,012,316,178,880,425,728/649,748,206
  6. Step 6: Final answer
    x = 3,097,070,773.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.