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Finding the Third Proportional to 7,403,076 and 17,136,486

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Solution

The third proportional to 7,403,076 and 17,136,486 is: 39,667,180.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,403,076 : 17,136,486 = 17,136,486 : x
  2. Step 2: Convert to fraction form
    7,403,076/17,136,486 = 17,136,486/x
  3. Step 3: Cross multiply
    7,403,076x = 17,136,486 × 17,136,486
  4. Step 4: Simplify right side
    7,403,076x = 293,659,152,428,196
  5. Step 5: Solve for x
    x = 293,659,152,428,196/7,403,076
  6. Step 6: Final answer
    x = 39,667,180.56

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.