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Finding the Third Proportional to 622,032,053.63 and 1,336,376,695.50

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Solution

The third proportional to 622,032,053.63 and 1,336,376,695.50 is: 2,871,078,205.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,032,053.63 : 1,336,376,695.50 = 1,336,376,695.50 : x
  2. Step 2: Convert to fraction form
    622,032,053.63/1,336,376,695.50 = 1,336,376,695.50/x
  3. Step 3: Cross multiply
    622,032,053.63x = 1,336,376,695.50 × 1,336,376,695.50
  4. Step 4: Simplify right side
    622,032,053.63x = 1,785,902,672,275,499,776
  5. Step 5: Solve for x
    x = 1,785,902,672,275,499,776/622,032,053.63
  6. Step 6: Final answer
    x = 2,871,078,205.48

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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.