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Finding the Third Proportional to 413,259,498 and 899,158,005

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Solution

The third proportional to 413,259,498 and 899,158,005 is: 1,956,361,854.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,259,498 : 899,158,005 = 899,158,005 : x
  2. Step 2: Convert to fraction form
    413,259,498/899,158,005 = 899,158,005/x
  3. Step 3: Cross multiply
    413,259,498x = 899,158,005 × 899,158,005
  4. Step 4: Simplify right side
    413,259,498x = 808,485,117,955,580,032
  5. Step 5: Solve for x
    x = 808,485,117,955,580,032/413,259,498
  6. Step 6: Final answer
    x = 1,956,361,854.64

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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.