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Finding the Third Proportional to 367,328,585 and 799,224,454

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Solution

The third proportional to 367,328,585 and 799,224,454 is: 1,738,932,808.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,328,585 : 799,224,454 = 799,224,454 : x
  2. Step 2: Convert to fraction form
    367,328,585/799,224,454 = 799,224,454/x
  3. Step 3: Cross multiply
    367,328,585x = 799,224,454 × 799,224,454
  4. Step 4: Simplify right side
    367,328,585x = 638,759,727,871,598,080
  5. Step 5: Solve for x
    x = 638,759,727,871,598,080/367,328,585
  6. Step 6: Final answer
    x = 1,738,932,808.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.