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Finding the Third Proportional to 2,424,637,441 and 5,237,266,177

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Solution

The third proportional to 2,424,637,441 and 5,237,266,177 is: 11,312,601,440.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424,637,441 : 5,237,266,177 = 5,237,266,177 : x
  2. Step 2: Convert to fraction form
    2,424,637,441/5,237,266,177 = 5,237,266,177/x
  3. Step 3: Cross multiply
    2,424,637,441x = 5,237,266,177 × 5,237,266,177
  4. Step 4: Simplify right side
    2,424,637,441x = 27,428,957,008,748,195,840
  5. Step 5: Solve for x
    x = 27,428,957,008,748,195,840/2,424,637,441
  6. Step 6: Final answer
    x = 11,312,601,440.91

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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.