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Finding the Third Proportional to 60,971,984,640 and 132,075,626,238

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Solution

The third proportional to 60,971,984,640 and 132,075,626,238 is: 286,098,134,235.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,971,984,640 : 132,075,626,238 = 132,075,626,238 : x
  2. Step 2: Convert to fraction form
    60,971,984,640/132,075,626,238 = 132,075,626,238/x
  3. Step 3: Cross multiply
    60,971,984,640x = 132,075,626,238 × 132,075,626,238
  4. Step 4: Simplify right side
    60,971,984,640x = 17,443,971,046,159,874,523,136
  5. Step 5: Solve for x
    x = 17,443,971,046,159,874,523,136/60,971,984,640
  6. Step 6: Final answer
    x = 286,098,134,235.83

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.