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Finding the Third Proportional to 564,315,719 and 1,180,085,723.75

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Solution

The third proportional to 564,315,719 and 1,180,085,723.75 is: 2,467,771,618.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,315,719 : 1,180,085,723.75 = 1,180,085,723.75 : x
  2. Step 2: Convert to fraction form
    564,315,719/1,180,085,723.75 = 1,180,085,723.75/x
  3. Step 3: Cross multiply
    564,315,719x = 1,180,085,723.75 × 1,180,085,723.75
  4. Step 4: Simplify right side
    564,315,719x = 1,392,602,315,398,561,280
  5. Step 5: Solve for x
    x = 1,392,602,315,398,561,280/564,315,719
  6. Step 6: Final answer
    x = 2,467,771,618.81

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.