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Finding the Third Proportional to 267,819,504,396.75 and 578,243,272,032

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Solution

The third proportional to 267,819,504,396.75 and 578,243,272,032 is: 1,248,472,483,000.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,819,504,396.75 : 578,243,272,032 = 578,243,272,032 : x
  2. Step 2: Convert to fraction form
    267,819,504,396.75/578,243,272,032 = 578,243,272,032/x
  3. Step 3: Cross multiply
    267,819,504,396.75x = 578,243,272,032 × 578,243,272,032
  4. Step 4: Simplify right side
    267,819,504,396.75x = 334,365,281,650,273,547,190,272
  5. Step 5: Solve for x
    x = 334,365,281,650,273,547,190,272/267,819,504,396.75
  6. Step 6: Final answer
    x = 1,248,472,483,000.87

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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.