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Finding the Third Proportional to 49,952,780,712 and 107,867,168,334

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Solution

The third proportional to 49,952,780,712 and 107,867,168,334 is: 232,926,492,550.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,952,780,712 : 107,867,168,334 = 107,867,168,334 : x
  2. Step 2: Convert to fraction form
    49,952,780,712/107,867,168,334 = 107,867,168,334/x
  3. Step 3: Cross multiply
    49,952,780,712x = 107,867,168,334 × 107,867,168,334
  4. Step 4: Simplify right side
    49,952,780,712x = 11,635,326,004,395,493,031,936
  5. Step 5: Solve for x
    x = 11,635,326,004,395,493,031,936/49,952,780,712
  6. Step 6: Final answer
    x = 232,926,492,550.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.