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Finding the Third Proportional to 60,971,985,154 and 132,075,627,176

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Solution

The third proportional to 60,971,985,154 and 132,075,627,176 is: 286,098,135,887.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,971,985,154 : 132,075,627,176 = 132,075,627,176 : x
  2. Step 2: Convert to fraction form
    60,971,985,154/132,075,627,176 = 132,075,627,176/x
  3. Step 3: Cross multiply
    60,971,985,154x = 132,075,627,176 × 132,075,627,176
  4. Step 4: Simplify right side
    60,971,985,154x = 17,443,971,293,933,750,714,368
  5. Step 5: Solve for x
    x = 17,443,971,293,933,750,714,368/60,971,985,154
  6. Step 6: Final answer
    x = 286,098,135,887.73

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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.