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Finding the Third Proportional to 9,868,490 and 14,802,732

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Solution

The third proportional to 9,868,490 and 14,802,732 is: 22,204,093.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,868,490 : 14,802,732 = 14,802,732 : x
  2. Step 2: Convert to fraction form
    9,868,490/14,802,732 = 14,802,732/x
  3. Step 3: Cross multiply
    9,868,490x = 14,802,732 × 14,802,732
  4. Step 4: Simplify right side
    9,868,490x = 219,120,874,663,824
  5. Step 5: Solve for x
    x = 219,120,874,663,824/9,868,490
  6. Step 6: Final answer
    x = 22,204,093.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.