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Finding the Third Proportional to 3,210,593,076 and 4,911,847,928

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Solution

The third proportional to 3,210,593,076 and 4,911,847,928 is: 7,514,577,368.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210,593,076 : 4,911,847,928 = 4,911,847,928 : x
  2. Step 2: Convert to fraction form
    3,210,593,076/4,911,847,928 = 4,911,847,928/x
  3. Step 3: Cross multiply
    3,210,593,076x = 4,911,847,928 × 4,911,847,928
  4. Step 4: Simplify right side
    3,210,593,076x = 24,126,250,067,797,893,120
  5. Step 5: Solve for x
    x = 24,126,250,067,797,893,120/3,210,593,076
  6. Step 6: Final answer
    x = 7,514,577,368.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.