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Finding the Third Proportional to 60,532,713,386 and 130,048,676,296

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Solution

The third proportional to 60,532,713,386 and 130,048,676,296 is: 279,396,994,786.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,532,713,386 : 130,048,676,296 = 130,048,676,296 : x
  2. Step 2: Convert to fraction form
    60,532,713,386/130,048,676,296 = 130,048,676,296/x
  3. Step 3: Cross multiply
    60,532,713,386x = 130,048,676,296 × 130,048,676,296
  4. Step 4: Simplify right side
    60,532,713,386x = 16,912,658,206,341,793,316,864
  5. Step 5: Solve for x
    x = 16,912,658,206,341,793,316,864/60,532,713,386
  6. Step 6: Final answer
    x = 279,396,994,786.84

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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.