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Finding the Third Proportional to 4,597,316.16 and 9,755,017.31

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Solution

The third proportional to 4,597,316.16 and 9,755,017.31 is: 20,699,112.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597,316.16 : 9,755,017.31 = 9,755,017.31 : x
  2. Step 2: Convert to fraction form
    4,597,316.16/9,755,017.31 = 9,755,017.31/x
  3. Step 3: Cross multiply
    4,597,316.16x = 9,755,017.31 × 9,755,017.31
  4. Step 4: Simplify right side
    4,597,316.16x = 95,160,362,767,174.72
  5. Step 5: Solve for x
    x = 95,160,362,767,174.72/4,597,316.16
  6. Step 6: Final answer
    x = 20,699,112.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.