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Finding the Third Proportional to 7,074,873,984 and 15,143,599,536

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Solution

The third proportional to 7,074,873,984 and 15,143,599,536 is: 32,414,514,721.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074,873,984 : 15,143,599,536 = 15,143,599,536 : x
  2. Step 2: Convert to fraction form
    7,074,873,984/15,143,599,536 = 15,143,599,536/x
  3. Step 3: Cross multiply
    7,074,873,984x = 15,143,599,536 × 15,143,599,536
  4. Step 4: Simplify right side
    7,074,873,984x = 229,328,606,906,739,425,280
  5. Step 5: Solve for x
    x = 229,328,606,906,739,425,280/7,074,873,984
  6. Step 6: Final answer
    x = 32,414,514,721.45

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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.