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Finding the Third Proportional to 649,748,205 and 1,418,561,304

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Solution

The third proportional to 649,748,205 and 1,418,561,304 is: 3,097,070,769.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,748,205 : 1,418,561,304 = 1,418,561,304 : x
  2. Step 2: Convert to fraction form
    649,748,205/1,418,561,304 = 1,418,561,304/x
  3. Step 3: Cross multiply
    649,748,205x = 1,418,561,304 × 1,418,561,304
  4. Step 4: Simplify right side
    649,748,205x = 2,012,316,173,206,180,352
  5. Step 5: Solve for x
    x = 2,012,316,173,206,180,352/649,748,205
  6. Step 6: Final answer
    x = 3,097,070,769.45

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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.