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Finding the Third Proportional to 8,349,222,464 and 17,893,610,908

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Solution

The third proportional to 8,349,222,464 and 17,893,610,908 is: 38,348,638,176.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,349,222,464 : 17,893,610,908 = 17,893,610,908 : x
  2. Step 2: Convert to fraction form
    8,349,222,464/17,893,610,908 = 17,893,610,908/x
  3. Step 3: Cross multiply
    8,349,222,464x = 17,893,610,908 × 17,893,610,908
  4. Step 4: Simplify right side
    8,349,222,464x = 320,181,311,326,896,586,752
  5. Step 5: Solve for x
    x = 320,181,311,326,896,586,752/8,349,222,464
  6. Step 6: Final answer
    x = 38,348,638,176.48

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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.