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Finding the Third Proportional to 12,713,009,896 and 27,368,955,464

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Solution

The third proportional to 12,713,009,896 and 27,368,955,464 is: 58,920,722,104.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,713,009,896 : 27,368,955,464 = 27,368,955,464 : x
  2. Step 2: Convert to fraction form
    12,713,009,896/27,368,955,464 = 27,368,955,464/x
  3. Step 3: Cross multiply
    12,713,009,896x = 27,368,955,464 × 27,368,955,464
  4. Step 4: Simplify right side
    12,713,009,896x = 749,059,723,190,415,392,768
  5. Step 5: Solve for x
    x = 749,059,723,190,415,392,768/12,713,009,896
  6. Step 6: Final answer
    x = 58,920,722,104.22

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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.