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Finding the Third Proportional to 13,971,054,893 and 30,470,723,687

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Solution

The third proportional to 13,971,054,893 and 30,470,723,687 is: 66,456,327,680.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,971,054,893 : 30,470,723,687 = 30,470,723,687 : x
  2. Step 2: Convert to fraction form
    13,971,054,893/30,470,723,687 = 30,470,723,687/x
  3. Step 3: Cross multiply
    13,971,054,893x = 30,470,723,687 × 30,470,723,687
  4. Step 4: Simplify right side
    13,971,054,893x = 928,465,002,009,502,810,112
  5. Step 5: Solve for x
    x = 928,465,002,009,502,810,112/13,971,054,893
  6. Step 6: Final answer
    x = 66,456,327,680.36

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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.