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Finding the Third Proportional to 622,032,049 and 1,336,376,686.50

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Solution

The third proportional to 622,032,049 and 1,336,376,686.50 is: 2,871,078,188.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,032,049 : 1,336,376,686.50 = 1,336,376,686.50 : x
  2. Step 2: Convert to fraction form
    622,032,049/1,336,376,686.50 = 1,336,376,686.50/x
  3. Step 3: Cross multiply
    622,032,049x = 1,336,376,686.50 × 1,336,376,686.50
  4. Step 4: Simplify right side
    622,032,049x = 1,785,902,648,220,719,360
  5. Step 5: Solve for x
    x = 1,785,902,648,220,719,360/622,032,049
  6. Step 6: Final answer
    x = 2,871,078,188.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.