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Finding the Third Proportional to 9,096,192 and 19,602,432

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Solution

The third proportional to 9,096,192 and 19,602,432 is: 42,243,538.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096,192 : 19,602,432 = 19,602,432 : x
  2. Step 2: Convert to fraction form
    9,096,192/19,602,432 = 19,602,432/x
  3. Step 3: Cross multiply
    9,096,192x = 19,602,432 × 19,602,432
  4. Step 4: Simplify right side
    9,096,192x = 384,255,340,314,624
  5. Step 5: Solve for x
    x = 384,255,340,314,624/9,096,192
  6. Step 6: Final answer
    x = 42,243,538.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.