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Finding the Third Proportional to 21,475,157,346 and 46,667,578,518

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Solution

The third proportional to 21,475,157,346 and 46,667,578,518 is: 101,413,128,185.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,475,157,346 : 46,667,578,518 = 46,667,578,518 : x
  2. Step 2: Convert to fraction form
    21,475,157,346/46,667,578,518 = 46,667,578,518/x
  3. Step 3: Cross multiply
    21,475,157,346x = 46,667,578,518 × 46,667,578,518
  4. Step 4: Simplify right side
    21,475,157,346x = 2,177,862,884,733,695,033,344
  5. Step 5: Solve for x
    x = 2,177,862,884,733,695,033,344/21,475,157,346
  6. Step 6: Final answer
    x = 101,413,128,185.50

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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.