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Finding the Third Proportional to 29,992,086,377 and 64,497,878,314

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Solution

The third proportional to 29,992,086,377 and 64,497,878,314 is: 138,702,464,867.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,992,086,377 : 64,497,878,314 = 64,497,878,314 : x
  2. Step 2: Convert to fraction form
    29,992,086,377/64,497,878,314 = 64,497,878,314/x
  3. Step 3: Cross multiply
    29,992,086,377x = 64,497,878,314 × 64,497,878,314
  4. Step 4: Simplify right side
    29,992,086,377x = 4,159,976,307,007,551,438,848
  5. Step 5: Solve for x
    x = 4,159,976,307,007,551,438,848/29,992,086,377
  6. Step 6: Final answer
    x = 138,702,464,867.46

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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.