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Finding the Third Proportional to 9,615,917,398.50 and 20,887,160,841

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Solution

The third proportional to 9,615,917,398.50 and 20,887,160,841 is: 45,369,928,829.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,615,917,398.50 : 20,887,160,841 = 20,887,160,841 : x
  2. Step 2: Convert to fraction form
    9,615,917,398.50/20,887,160,841 = 20,887,160,841/x
  3. Step 3: Cross multiply
    9,615,917,398.50x = 20,887,160,841 × 20,887,160,841
  4. Step 4: Simplify right side
    9,615,917,398.50x = 436,273,487,997,803,823,104
  5. Step 5: Solve for x
    x = 436,273,487,997,803,823,104/9,615,917,398.50
  6. Step 6: Final answer
    x = 45,369,928,829.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.