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Finding the Third Proportional to 60,971,984,646 and 132,075,626,249

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Solution

The third proportional to 60,971,984,646 and 132,075,626,249 is: 286,098,134,255.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,971,984,646 : 132,075,626,249 = 132,075,626,249 : x
  2. Step 2: Convert to fraction form
    60,971,984,646/132,075,626,249 = 132,075,626,249/x
  3. Step 3: Cross multiply
    60,971,984,646x = 132,075,626,249 × 132,075,626,249
  4. Step 4: Simplify right side
    60,971,984,646x = 17,443,971,049,065,537,339,392
  5. Step 5: Solve for x
    x = 17,443,971,049,065,537,339,392/60,971,984,646
  6. Step 6: Final answer
    x = 286,098,134,255.34

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Why These Related Problems?

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