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Finding the Third Proportional to 8,255,583 and 19,424,895.75

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Solution

The third proportional to 8,255,583 and 19,424,895.75 is: 45,705,624.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,255,583 : 19,424,895.75 = 19,424,895.75 : x
  2. Step 2: Convert to fraction form
    8,255,583/19,424,895.75 = 19,424,895.75/x
  3. Step 3: Cross multiply
    8,255,583x = 19,424,895.75 × 19,424,895.75
  4. Step 4: Simplify right side
    8,255,583x = 377,326,574,898,368.06
  5. Step 5: Solve for x
    x = 377,326,574,898,368.06/8,255,583
  6. Step 6: Final answer
    x = 45,705,624.29

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.