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Finding the Third Proportional to 60,971,984,648 and 132,075,626,254

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Solution

The third proportional to 60,971,984,648 and 132,075,626,254 is: 286,098,134,267.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,971,984,648 : 132,075,626,254 = 132,075,626,254 : x
  2. Step 2: Convert to fraction form
    60,971,984,648/132,075,626,254 = 132,075,626,254/x
  3. Step 3: Cross multiply
    60,971,984,648x = 132,075,626,254 × 132,075,626,254
  4. Step 4: Simplify right side
    60,971,984,648x = 17,443,971,050,386,294,308,864
  5. Step 5: Solve for x
    x = 17,443,971,050,386,294,308,864/60,971,984,648
  6. Step 6: Final answer
    x = 286,098,134,267.61

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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.