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Finding the Third Proportional to 552,713,803.50 and 1,181,955,097.50

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Solution

The third proportional to 552,713,803.50 and 1,181,955,097.50 is: 2,527,560,997.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,713,803.50 : 1,181,955,097.50 = 1,181,955,097.50 : x
  2. Step 2: Convert to fraction form
    552,713,803.50/1,181,955,097.50 = 1,181,955,097.50/x
  3. Step 3: Cross multiply
    552,713,803.50x = 1,181,955,097.50 × 1,181,955,097.50
  4. Step 4: Simplify right side
    552,713,803.50x = 1,397,017,852,506,234,624
  5. Step 5: Solve for x
    x = 1,397,017,852,506,234,624/552,713,803.50
  6. Step 6: Final answer
    x = 2,527,560,997.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.