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Finding the Third Proportional to 6,514,688 and 9,843,456

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Solution

The third proportional to 6,514,688 and 9,843,456 is: 14,873,103.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514,688 : 9,843,456 = 9,843,456 : x
  2. Step 2: Convert to fraction form
    6,514,688/9,843,456 = 9,843,456/x
  3. Step 3: Cross multiply
    6,514,688x = 9,843,456 × 9,843,456
  4. Step 4: Simplify right side
    6,514,688x = 96,893,626,023,936
  5. Step 5: Solve for x
    x = 96,893,626,023,936/6,514,688
  6. Step 6: Final answer
    x = 14,873,103.06

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.