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Finding the Third Proportional to 295,294,572 and 646,172,478

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Solution

The third proportional to 295,294,572 and 646,172,478 is: 1,413,974,081.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,294,572 : 646,172,478 = 646,172,478 : x
  2. Step 2: Convert to fraction form
    295,294,572/646,172,478 = 646,172,478/x
  3. Step 3: Cross multiply
    295,294,572x = 646,172,478 × 646,172,478
  4. Step 4: Simplify right side
    295,294,572x = 417,538,871,324,660,480
  5. Step 5: Solve for x
    x = 417,538,871,324,660,480/295,294,572
  6. Step 6: Final answer
    x = 1,413,974,081.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.