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Finding the Third Proportional to 256,553,994 and 560,151,448

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Solution

The third proportional to 256,553,994 and 560,151,448 is: 1,223,016,020.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,553,994 : 560,151,448 = 560,151,448 : x
  2. Step 2: Convert to fraction form
    256,553,994/560,151,448 = 560,151,448/x
  3. Step 3: Cross multiply
    256,553,994x = 560,151,448 × 560,151,448
  4. Step 4: Simplify right side
    256,553,994x = 313,769,644,696,496,704
  5. Step 5: Solve for x
    x = 313,769,644,696,496,704/256,553,994
  6. Step 6: Final answer
    x = 1,223,016,020.15

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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.