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Finding the Third Proportional to 21,959,084 and 47,698,345

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Solution

The third proportional to 21,959,084 and 47,698,345 is: 103,607,787.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,959,084 : 47,698,345 = 47,698,345 : x
  2. Step 2: Convert to fraction form
    21,959,084/47,698,345 = 47,698,345/x
  3. Step 3: Cross multiply
    21,959,084x = 47,698,345 × 47,698,345
  4. Step 4: Simplify right side
    21,959,084x = 2,275,132,115,739,025
  5. Step 5: Solve for x
    x = 2,275,132,115,739,025/21,959,084
  6. Step 6: Final answer
    x = 103,607,787.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.