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Finding the Third Proportional to 986,913,513 and 2,167,513,551

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Solution

The third proportional to 986,913,513 and 2,167,513,551 is: 4,760,412,064.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,913,513 : 2,167,513,551 = 2,167,513,551 : x
  2. Step 2: Convert to fraction form
    986,913,513/2,167,513,551 = 2,167,513,551/x
  3. Step 3: Cross multiply
    986,913,513x = 2,167,513,551 × 2,167,513,551
  4. Step 4: Simplify right side
    986,913,513x = 4,698,114,993,768,629,248
  5. Step 5: Solve for x
    x = 4,698,114,993,768,629,248/986,913,513
  6. Step 6: Final answer
    x = 4,760,412,064.36

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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.