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Finding the Third Proportional to 10,180,476 and 21,955,032

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Solution

The third proportional to 10,180,476 and 21,955,032 is: 47,347,828.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,180,476 : 21,955,032 = 21,955,032 : x
  2. Step 2: Convert to fraction form
    10,180,476/21,955,032 = 21,955,032/x
  3. Step 3: Cross multiply
    10,180,476x = 21,955,032 × 21,955,032
  4. Step 4: Simplify right side
    10,180,476x = 482,023,430,121,024
  5. Step 5: Solve for x
    x = 482,023,430,121,024/10,180,476
  6. Step 6: Final answer
    x = 47,347,828.35

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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.