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Finding the Third Proportional to 5,814,707,208 and 12,681,815,216

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Solution

The third proportional to 5,814,707,208 and 12,681,815,216 is: 27,658,905,499.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814,707,208 : 12,681,815,216 = 12,681,815,216 : x
  2. Step 2: Convert to fraction form
    5,814,707,208/12,681,815,216 = 12,681,815,216/x
  3. Step 3: Cross multiply
    5,814,707,208x = 12,681,815,216 × 12,681,815,216
  4. Step 4: Simplify right side
    5,814,707,208x = 160,828,437,172,769,128,448
  5. Step 5: Solve for x
    x = 160,828,437,172,769,128,448/5,814,707,208
  6. Step 6: Final answer
    x = 27,658,905,499.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.