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Finding the Third Proportional to 47,349,270,846 and 103,033,920,741

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Solution

The third proportional to 47,349,270,846 and 103,033,920,741 is: 224,205,962,068.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,349,270,846 : 103,033,920,741 = 103,033,920,741 : x
  2. Step 2: Convert to fraction form
    47,349,270,846/103,033,920,741 = 103,033,920,741/x
  3. Step 3: Cross multiply
    47,349,270,846x = 103,033,920,741 × 103,033,920,741
  4. Step 4: Simplify right side
    47,349,270,846x = 10,615,988,823,262,670,880,768
  5. Step 5: Solve for x
    x = 10,615,988,823,262,670,880,768/47,349,270,846
  6. Step 6: Final answer
    x = 224,205,962,068.36

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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.