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Finding the Third Proportional to 4,098,184 and 8,827,664

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Solution

The third proportional to 4,098,184 and 8,827,664 is: 19,015,166.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098,184 : 8,827,664 = 8,827,664 : x
  2. Step 2: Convert to fraction form
    4,098,184/8,827,664 = 8,827,664/x
  3. Step 3: Cross multiply
    4,098,184x = 8,827,664 × 8,827,664
  4. Step 4: Simplify right side
    4,098,184x = 77,927,651,696,896
  5. Step 5: Solve for x
    x = 77,927,651,696,896/4,098,184
  6. Step 6: Final answer
    x = 19,015,166.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.