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Finding the Third Proportional to 60,532,713,384 and 130,048,676,292

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Solution

The third proportional to 60,532,713,384 and 130,048,676,292 is: 279,396,994,778.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,532,713,384 : 130,048,676,292 = 130,048,676,292 : x
  2. Step 2: Convert to fraction form
    60,532,713,384/130,048,676,292 = 130,048,676,292/x
  3. Step 3: Cross multiply
    60,532,713,384x = 130,048,676,292 × 130,048,676,292
  4. Step 4: Simplify right side
    60,532,713,384x = 16,912,658,205,301,402,501,120
  5. Step 5: Solve for x
    x = 16,912,658,205,301,402,501,120/60,532,713,384
  6. Step 6: Final answer
    x = 279,396,994,778.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.