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Finding the Third Proportional to 23,078,304 and 49,358,376

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Solution

The third proportional to 23,078,304 and 49,358,376 is: 105,564,485.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,078,304 : 49,358,376 = 49,358,376 : x
  2. Step 2: Convert to fraction form
    23,078,304/49,358,376 = 49,358,376/x
  3. Step 3: Cross multiply
    23,078,304x = 49,358,376 × 49,358,376
  4. Step 4: Simplify right side
    23,078,304x = 2,436,249,281,357,376
  5. Step 5: Solve for x
    x = 2,436,249,281,357,376/23,078,304
  6. Step 6: Final answer
    x = 105,564,485.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.