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Finding the Third Proportional to 3,277,681,745 and 7,209,135,565

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Solution

The third proportional to 3,277,681,745 and 7,209,135,565 is: 15,856,217,789.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277,681,745 : 7,209,135,565 = 7,209,135,565 : x
  2. Step 2: Convert to fraction form
    3,277,681,745/7,209,135,565 = 7,209,135,565/x
  3. Step 3: Cross multiply
    3,277,681,745x = 7,209,135,565 × 7,209,135,565
  4. Step 4: Simplify right side
    3,277,681,745x = 51,971,635,594,547,871,744
  5. Step 5: Solve for x
    x = 51,971,635,594,547,871,744/3,277,681,745
  6. Step 6: Final answer
    x = 15,856,217,789.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.