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Finding the Third Proportional to 4,972,654.13 and 7,018,876.13

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Solution

The third proportional to 4,972,654.13 and 7,018,876.13 is: 9,907,108.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972,654.13 : 7,018,876.13 = 7,018,876.13 : x
  2. Step 2: Convert to fraction form
    4,972,654.13/7,018,876.13 = 7,018,876.13/x
  3. Step 3: Cross multiply
    4,972,654.13x = 7,018,876.13 × 7,018,876.13
  4. Step 4: Simplify right side
    4,972,654.13x = 49,264,622,058,095.02
  5. Step 5: Solve for x
    x = 49,264,622,058,095.02/4,972,654.13
  6. Step 6: Final answer
    x = 9,907,108.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.