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Finding the Third Proportional to 452,791,872,834 and 969,190,243,713

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Solution

The third proportional to 452,791,872,834 and 969,190,243,713 is: 2,074,528,684,954.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,791,872,834 : 969,190,243,713 = 969,190,243,713 : x
  2. Step 2: Convert to fraction form
    452,791,872,834/969,190,243,713 = 969,190,243,713/x
  3. Step 3: Cross multiply
    452,791,872,834x = 969,190,243,713 × 969,190,243,713
  4. Step 4: Simplify right side
    452,791,872,834x = 939,329,728,508,464,386,277,376
  5. Step 5: Solve for x
    x = 939,329,728,508,464,386,277,376/452,791,872,834
  6. Step 6: Final answer
    x = 2,074,528,684,954.64

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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.