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Finding the Third Proportional to 47,349,270,834 and 103,033,920,720

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Solution

The third proportional to 47,349,270,834 and 103,033,920,720 is: 224,205,962,033.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,349,270,834 : 103,033,920,720 = 103,033,920,720 : x
  2. Step 2: Convert to fraction form
    47,349,270,834/103,033,920,720 = 103,033,920,720/x
  3. Step 3: Cross multiply
    47,349,270,834x = 103,033,920,720 × 103,033,920,720
  4. Step 4: Simplify right side
    47,349,270,834x = 10,615,988,818,935,245,963,264
  5. Step 5: Solve for x
    x = 10,615,988,818,935,245,963,264/47,349,270,834
  6. Step 6: Final answer
    x = 224,205,962,033.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.