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Finding the Third Proportional to 21,658,932,840,786 and 32,766,962,814,477

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Solution

The third proportional to 21,658,932,840,786 and 32,766,962,814,477 is: 49,571,872,260,644.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,658,932,840,786 : 32,766,962,814,477 = 32,766,962,814,477 : x
  2. Step 2: Convert to fraction form
    21,658,932,840,786/32,766,962,814,477 = 32,766,962,814,477/x
  3. Step 3: Cross multiply
    21,658,932,840,786x = 32,766,962,814,477 × 32,766,962,814,477
  4. Step 4: Simplify right side
    21,658,932,840,786x = 1,073,673,852,085,318,429,372,841,984
  5. Step 5: Solve for x
    x = 1,073,673,852,085,318,429,372,841,984/21,658,932,840,786
  6. Step 6: Final answer
    x = 49,571,872,260,644.35

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.