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Finding the Third Proportional to 267,819,504,505.50 and 578,243,272,167.75

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Solution

The third proportional to 267,819,504,505.50 and 578,243,272,167.75 is: 1,248,472,483,080.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,819,504,505.50 : 578,243,272,167.75 = 578,243,272,167.75 : x
  2. Step 2: Convert to fraction form
    267,819,504,505.50/578,243,272,167.75 = 578,243,272,167.75/x
  3. Step 3: Cross multiply
    267,819,504,505.50x = 578,243,272,167.75 × 578,243,272,167.75
  4. Step 4: Simplify right side
    267,819,504,505.50x = 334,365,281,807,266,614,345,728
  5. Step 5: Solve for x
    x = 334,365,281,807,266,614,345,728/267,819,504,505.50
  6. Step 6: Final answer
    x = 1,248,472,483,080.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.