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Finding the Third Proportional to 23,075,645 and 49,240,414

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Solution

The third proportional to 23,075,645 and 49,240,414 is: 105,072,615.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,075,645 : 49,240,414 = 49,240,414 : x
  2. Step 2: Convert to fraction form
    23,075,645/49,240,414 = 49,240,414/x
  3. Step 3: Cross multiply
    23,075,645x = 49,240,414 × 49,240,414
  4. Step 4: Simplify right side
    23,075,645x = 2,424,618,370,891,396
  5. Step 5: Solve for x
    x = 2,424,618,370,891,396/23,075,645
  6. Step 6: Final answer
    x = 105,072,615.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.