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Finding the Third Proportional to 240,247,317 and 524,532,057

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Solution

The third proportional to 240,247,317 and 524,532,057 is: 1,145,211,036.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,247,317 : 524,532,057 = 524,532,057 : x
  2. Step 2: Convert to fraction form
    240,247,317/524,532,057 = 524,532,057/x
  3. Step 3: Cross multiply
    240,247,317x = 524,532,057 × 524,532,057
  4. Step 4: Simplify right side
    240,247,317x = 275,133,878,820,651,264
  5. Step 5: Solve for x
    x = 275,133,878,820,651,264/240,247,317
  6. Step 6: Final answer
    x = 1,145,211,036.10

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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.