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Finding the Third Proportional to 19,141,701.75 and 29,422,142.81

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Solution

The third proportional to 19,141,701.75 and 29,422,142.81 is: 45,223,904.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,141,701.75 : 29,422,142.81 = 29,422,142.81 : x
  2. Step 2: Convert to fraction form
    19,141,701.75/29,422,142.81 = 29,422,142.81/x
  3. Step 3: Cross multiply
    19,141,701.75x = 29,422,142.81 × 29,422,142.81
  4. Step 4: Simplify right side
    19,141,701.75x = 865,662,487,679,145.38
  5. Step 5: Solve for x
    x = 865,662,487,679,145.38/19,141,701.75
  6. Step 6: Final answer
    x = 45,223,904.28

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.