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Finding the Third Proportional to 14,536,523,732 and 31,553,963,482

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Solution

The third proportional to 14,536,523,732 and 31,553,963,482 is: 68,493,171,392.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,536,523,732 : 31,553,963,482 = 31,553,963,482 : x
  2. Step 2: Convert to fraction form
    14,536,523,732/31,553,963,482 = 31,553,963,482/x
  3. Step 3: Cross multiply
    14,536,523,732x = 31,553,963,482 × 31,553,963,482
  4. Step 4: Simplify right side
    14,536,523,732x = 995,652,611,423,389,614,080
  5. Step 5: Solve for x
    x = 995,652,611,423,389,614,080/14,536,523,732
  6. Step 6: Final answer
    x = 68,493,171,392.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.