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Finding the Third Proportional to 9,523,948 and 19,991,320

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Solution

The third proportional to 9,523,948 and 19,991,320 is: 41,962,941.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523,948 : 19,991,320 = 19,991,320 : x
  2. Step 2: Convert to fraction form
    9,523,948/19,991,320 = 19,991,320/x
  3. Step 3: Cross multiply
    9,523,948x = 19,991,320 × 19,991,320
  4. Step 4: Simplify right side
    9,523,948x = 399,652,875,342,400
  5. Step 5: Solve for x
    x = 399,652,875,342,400/9,523,948
  6. Step 6: Final answer
    x = 41,962,941.77

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.