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Finding the Third Proportional to 1,700,682,655 and 2,640,564,547

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Solution

The third proportional to 1,700,682,655 and 2,640,564,547 is: 4,099,871,958.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700,682,655 : 2,640,564,547 = 2,640,564,547 : x
  2. Step 2: Convert to fraction form
    1,700,682,655/2,640,564,547 = 2,640,564,547/x
  3. Step 3: Cross multiply
    1,700,682,655x = 2,640,564,547 × 2,640,564,547
  4. Step 4: Simplify right side
    1,700,682,655x = 6,972,581,126,873,315,328
  5. Step 5: Solve for x
    x = 6,972,581,126,873,315,328/1,700,682,655
  6. Step 6: Final answer
    x = 4,099,871,958.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.