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Finding the Third Proportional to 45,959,664 and 69,894,432

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Solution

The third proportional to 45,959,664 and 69,894,432 is: 106,293,893.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,959,664 : 69,894,432 = 69,894,432 : x
  2. Step 2: Convert to fraction form
    45,959,664/69,894,432 = 69,894,432/x
  3. Step 3: Cross multiply
    45,959,664x = 69,894,432 × 69,894,432
  4. Step 4: Simplify right side
    45,959,664x = 4,885,231,624,602,624
  5. Step 5: Solve for x
    x = 4,885,231,624,602,624/45,959,664
  6. Step 6: Final answer
    x = 106,293,893.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.