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Finding the Third Proportional to 6,387,761,863 and 13,900,329,415

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Solution

The third proportional to 6,387,761,863 and 13,900,329,415 is: 30,248,334,548.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387,761,863 : 13,900,329,415 = 13,900,329,415 : x
  2. Step 2: Convert to fraction form
    6,387,761,863/13,900,329,415 = 13,900,329,415/x
  3. Step 3: Cross multiply
    6,387,761,863x = 13,900,329,415 × 13,900,329,415
  4. Step 4: Simplify right side
    6,387,761,863x = 193,219,157,845,514,256,384
  5. Step 5: Solve for x
    x = 193,219,157,845,514,256,384/6,387,761,863
  6. Step 6: Final answer
    x = 30,248,334,548.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.