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Finding the Third Proportional to 32,748,523,838 and 48,991,873,898

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Solution

The third proportional to 32,748,523,838 and 48,991,873,898 is: 73,291,966,377.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,748,523,838 : 48,991,873,898 = 48,991,873,898 : x
  2. Step 2: Convert to fraction form
    32,748,523,838/48,991,873,898 = 48,991,873,898/x
  3. Step 3: Cross multiply
    32,748,523,838x = 48,991,873,898 × 48,991,873,898
  4. Step 4: Simplify right side
    32,748,523,838x = 2,400,203,708,037,533,794,304
  5. Step 5: Solve for x
    x = 2,400,203,708,037,533,794,304/32,748,523,838
  6. Step 6: Final answer
    x = 73,291,966,377.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.