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Finding the Third Proportional to 10,839,963 and 15,852,838.50

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Solution

The third proportional to 10,839,963 and 15,852,838.50 is: 23,183,888.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,839,963 : 15,852,838.50 = 15,852,838.50 : x
  2. Step 2: Convert to fraction form
    10,839,963/15,852,838.50 = 15,852,838.50/x
  3. Step 3: Cross multiply
    10,839,963x = 15,852,838.50 × 15,852,838.50
  4. Step 4: Simplify right side
    10,839,963x = 251,312,488,507,082.25
  5. Step 5: Solve for x
    x = 251,312,488,507,082.25/10,839,963
  6. Step 6: Final answer
    x = 23,183,888.04

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.