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Finding the Third Proportional to 14,642,442.38 and 21,424,663.13

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Solution

The third proportional to 14,642,442.38 and 21,424,663.13 is: 31,348,335.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,642,442.38 : 21,424,663.13 = 21,424,663.13 : x
  2. Step 2: Convert to fraction form
    14,642,442.38/21,424,663.13 = 21,424,663.13/x
  3. Step 3: Cross multiply
    14,642,442.38x = 21,424,663.13 × 21,424,663.13
  4. Step 4: Simplify right side
    14,642,442.38x = 459,016,190,019,734.75
  5. Step 5: Solve for x
    x = 459,016,190,019,734.75/14,642,442.38
  6. Step 6: Final answer
    x = 31,348,335.08

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.