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Finding the Third Proportional to 256,554,024 and 560,151,511.50

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Solution

The third proportional to 256,554,024 and 560,151,511.50 is: 1,223,016,154.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,554,024 : 560,151,511.50 = 560,151,511.50 : x
  2. Step 2: Convert to fraction form
    256,554,024/560,151,511.50 = 560,151,511.50/x
  3. Step 3: Cross multiply
    256,554,024x = 560,151,511.50 × 560,151,511.50
  4. Step 4: Simplify right side
    256,554,024x = 313,769,715,835,734,656
  5. Step 5: Solve for x
    x = 313,769,715,835,734,656/256,554,024
  6. Step 6: Final answer
    x = 1,223,016,154.43

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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.