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Finding the Third Proportional to 60,970,121,832 and 130,762,011,984

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Solution

The third proportional to 60,970,121,832 and 130,762,011,984 is: 280,443,982,467.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,970,121,832 : 130,762,011,984 = 130,762,011,984 : x
  2. Step 2: Convert to fraction form
    60,970,121,832/130,762,011,984 = 130,762,011,984/x
  3. Step 3: Cross multiply
    60,970,121,832x = 130,762,011,984 × 130,762,011,984
  4. Step 4: Simplify right side
    60,970,121,832x = 17,098,703,778,103,760,519,168
  5. Step 5: Solve for x
    x = 17,098,703,778,103,760,519,168/60,970,121,832
  6. Step 6: Final answer
    x = 280,443,982,467.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.