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Finding the Third Proportional to 49,652,640 and 77,497,056

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Solution

The third proportional to 49,652,640 and 77,497,056 is: 120,956,180.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,652,640 : 77,497,056 = 77,497,056 : x
  2. Step 2: Convert to fraction form
    49,652,640/77,497,056 = 77,497,056/x
  3. Step 3: Cross multiply
    49,652,640x = 77,497,056 × 77,497,056
  4. Step 4: Simplify right side
    49,652,640x = 6,005,793,688,667,136
  5. Step 5: Solve for x
    x = 6,005,793,688,667,136/49,652,640
  6. Step 6: Final answer
    x = 120,956,180.55

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.