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Finding the Third Proportional to 5,549,344,464 and 12,948,917,616

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Solution

The third proportional to 5,549,344,464 and 12,948,917,616 is: 30,215,184,606.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,549,344,464 : 12,948,917,616 = 12,948,917,616 : x
  2. Step 2: Convert to fraction form
    5,549,344,464/12,948,917,616 = 12,948,917,616/x
  3. Step 3: Cross multiply
    5,549,344,464x = 12,948,917,616 × 12,948,917,616
  4. Step 4: Simplify right side
    5,549,344,464x = 167,674,467,425,955,119,104
  5. Step 5: Solve for x
    x = 167,674,467,425,955,119,104/5,549,344,464
  6. Step 6: Final answer
    x = 30,215,184,606.70

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.