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Finding the Third Proportional to 9,866,985 and 23,770,675.50

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Solution

The third proportional to 9,866,985 and 23,770,675.50 is: 57,266,228.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866,985 : 23,770,675.50 = 23,770,675.50 : x
  2. Step 2: Convert to fraction form
    9,866,985/23,770,675.50 = 23,770,675.50/x
  3. Step 3: Cross multiply
    9,866,985x = 23,770,675.50 × 23,770,675.50
  4. Step 4: Simplify right side
    9,866,985x = 565,045,013,726,300.25
  5. Step 5: Solve for x
    x = 565,045,013,726,300.25/9,866,985
  6. Step 6: Final answer
    x = 57,266,228.11

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.