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Finding the Third Proportional to 8,714,507,722,032 and 19,070,645,196,332

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Solution

The third proportional to 8,714,507,722,032 and 19,070,645,196,332 is: 41,733,798,374,508.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714,507,722,032 : 19,070,645,196,332 = 19,070,645,196,332 : x
  2. Step 2: Convert to fraction form
    8,714,507,722,032/19,070,645,196,332 = 19,070,645,196,332/x
  3. Step 3: Cross multiply
    8,714,507,722,032x = 19,070,645,196,332 × 19,070,645,196,332
  4. Step 4: Simplify right side
    8,714,507,722,032x = 363,689,508,204,380,796,359,802,880
  5. Step 5: Solve for x
    x = 363,689,508,204,380,796,359,802,880/8,714,507,722,032
  6. Step 6: Final answer
    x = 41,733,798,374,508.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.