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Finding the Third Proportional to 9,700,638.19 and 15,217,445.53

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Solution

The third proportional to 9,700,638.19 and 15,217,445.53 is: 23,871,692.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700,638.19 : 15,217,445.53 = 15,217,445.53 : x
  2. Step 2: Convert to fraction form
    9,700,638.19/15,217,445.53 = 15,217,445.53/x
  3. Step 3: Cross multiply
    9,700,638.19x = 15,217,445.53 × 15,217,445.53
  4. Step 4: Simplify right side
    9,700,638.19x = 231,570,648,496,560.59
  5. Step 5: Solve for x
    x = 231,570,648,496,560.59/9,700,638.19
  6. Step 6: Final answer
    x = 23,871,692.15

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.