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Finding the Third Proportional to 10,643,683.50 and 23,294,992.50

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Solution

The third proportional to 10,643,683.50 and 23,294,992.50 is: 50,983,916.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643,683.50 : 23,294,992.50 = 23,294,992.50 : x
  2. Step 2: Convert to fraction form
    10,643,683.50/23,294,992.50 = 23,294,992.50/x
  3. Step 3: Cross multiply
    10,643,683.50x = 23,294,992.50 × 23,294,992.50
  4. Step 4: Simplify right side
    10,643,683.50x = 542,656,675,575,056.25
  5. Step 5: Solve for x
    x = 542,656,675,575,056.25/10,643,683.50
  6. Step 6: Final answer
    x = 50,983,916.95

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.