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Finding the Third Proportional to 7,014,706,944 and 15,264,284,861

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Solution

The third proportional to 7,014,706,944 and 15,264,284,861 is: 33,215,698,699.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014,706,944 : 15,264,284,861 = 15,264,284,861 : x
  2. Step 2: Convert to fraction form
    7,014,706,944/15,264,284,861 = 15,264,284,861/x
  3. Step 3: Cross multiply
    7,014,706,944x = 15,264,284,861 × 15,264,284,861
  4. Step 4: Simplify right side
    7,014,706,944x = 232,998,392,317,753,786,368
  5. Step 5: Solve for x
    x = 232,998,392,317,753,786,368/7,014,706,944
  6. Step 6: Final answer
    x = 33,215,698,699.58

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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.