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Finding the Third Proportional to 10,509,303 and 15,839,124

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Solution

The third proportional to 10,509,303 and 15,839,124 is: 23,871,977.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509,303 : 15,839,124 = 15,839,124 : x
  2. Step 2: Convert to fraction form
    10,509,303/15,839,124 = 15,839,124/x
  3. Step 3: Cross multiply
    10,509,303x = 15,839,124 × 15,839,124
  4. Step 4: Simplify right side
    10,509,303x = 250,877,849,087,376
  5. Step 5: Solve for x
    x = 250,877,849,087,376/10,509,303
  6. Step 6: Final answer
    x = 23,871,977.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.