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Finding the Third Proportional to 5,431,203.38 and 11,308,852.13

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Solution

The third proportional to 5,431,203.38 and 11,308,852.13 is: 23,547,292.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,431,203.38 : 11,308,852.13 = 11,308,852.13 : x
  2. Step 2: Convert to fraction form
    5,431,203.38/11,308,852.13 = 11,308,852.13/x
  3. Step 3: Cross multiply
    5,431,203.38x = 11,308,852.13 × 11,308,852.13
  4. Step 4: Simplify right side
    5,431,203.38x = 127,890,136,385,117.02
  5. Step 5: Solve for x
    x = 127,890,136,385,117.02/5,431,203.38
  6. Step 6: Final answer
    x = 23,547,292.85

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.