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Finding the Third Proportional to 3,210,593,069 and 4,911,847,919

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Solution

The third proportional to 3,210,593,069 and 4,911,847,919 is: 7,514,577,357.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210,593,069 : 4,911,847,919 = 4,911,847,919 : x
  2. Step 2: Convert to fraction form
    3,210,593,069/4,911,847,919 = 4,911,847,919/x
  3. Step 3: Cross multiply
    3,210,593,069x = 4,911,847,919 × 4,911,847,919
  4. Step 4: Simplify right side
    3,210,593,069x = 24,126,249,979,384,631,296
  5. Step 5: Solve for x
    x = 24,126,249,979,384,631,296/3,210,593,069
  6. Step 6: Final answer
    x = 7,514,577,357.17

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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.