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Finding the Third Proportional to 11,749,104,384 and 25,358,840,308

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Solution

The third proportional to 11,749,104,384 and 25,358,840,308 is: 54,733,600,174.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,749,104,384 : 25,358,840,308 = 25,358,840,308 : x
  2. Step 2: Convert to fraction form
    11,749,104,384/25,358,840,308 = 25,358,840,308/x
  3. Step 3: Cross multiply
    11,749,104,384x = 25,358,840,308 × 25,358,840,308
  4. Step 4: Simplify right side
    11,749,104,384x = 643,070,781,766,645,579,776
  5. Step 5: Solve for x
    x = 643,070,781,766,645,579,776/11,749,104,384
  6. Step 6: Final answer
    x = 54,733,600,174.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.