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Finding the Third Proportional to 1,713,785,728.50 and 2,368,062,551.25

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Solution

The third proportional to 1,713,785,728.50 and 2,368,062,551.25 is: 3,272,124,486.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713,785,728.50 : 2,368,062,551.25 = 2,368,062,551.25 : x
  2. Step 2: Convert to fraction form
    1,713,785,728.50/2,368,062,551.25 = 2,368,062,551.25/x
  3. Step 3: Cross multiply
    1,713,785,728.50x = 2,368,062,551.25 × 2,368,062,551.25
  4. Step 4: Simplify right side
    1,713,785,728.50x = 5,607,720,246,632,658,944
  5. Step 5: Solve for x
    x = 5,607,720,246,632,658,944/1,713,785,728.50
  6. Step 6: Final answer
    x = 3,272,124,486.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.