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Finding the Third Proportional to 47,418,787,732 and 103,102,230,972

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Solution

The third proportional to 47,418,787,732 and 103,102,230,972 is: 224,174,225,867.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,418,787,732 : 103,102,230,972 = 103,102,230,972 : x
  2. Step 2: Convert to fraction form
    47,418,787,732/103,102,230,972 = 103,102,230,972/x
  3. Step 3: Cross multiply
    47,418,787,732x = 103,102,230,972 × 103,102,230,972
  4. Step 4: Simplify right side
    47,418,787,732x = 10,630,070,031,403,637,014,528
  5. Step 5: Solve for x
    x = 10,630,070,031,403,637,014,528/47,418,787,732
  6. Step 6: Final answer
    x = 224,174,225,867.65

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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.