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Finding the Third Proportional to 2,430,234,873 and 5,302,032,318

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Solution

The third proportional to 2,430,234,873 and 5,302,032,318 is: 11,567,419,681.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430,234,873 : 5,302,032,318 = 5,302,032,318 : x
  2. Step 2: Convert to fraction form
    2,430,234,873/5,302,032,318 = 5,302,032,318/x
  3. Step 3: Cross multiply
    2,430,234,873x = 5,302,032,318 × 5,302,032,318
  4. Step 4: Simplify right side
    2,430,234,873x = 28,111,546,701,116,452,864
  5. Step 5: Solve for x
    x = 28,111,546,701,116,452,864/2,430,234,873
  6. Step 6: Final answer
    x = 11,567,419,681.71

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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.