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Finding the Third Proportional to 463,052,457,924 and 1,003,032,063,468

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Solution

The third proportional to 463,052,457,924 and 1,003,032,063,468 is: 2,172,698,369,544.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,052,457,924 : 1,003,032,063,468 = 1,003,032,063,468 : x
  2. Step 2: Convert to fraction form
    463,052,457,924/1,003,032,063,468 = 1,003,032,063,468/x
  3. Step 3: Cross multiply
    463,052,457,924x = 1,003,032,063,468 × 1,003,032,063,468
  4. Step 4: Simplify right side
    463,052,457,924x = 1,006,073,320,344,873,989,046,272
  5. Step 5: Solve for x
    x = 1,006,073,320,344,873,989,046,272/463,052,457,924
  6. Step 6: Final answer
    x = 2,172,698,369,544.12

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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.