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Finding the Third Proportional to 21,032,172,213 and 32,754,283,843.50

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Solution

The third proportional to 21,032,172,213 and 32,754,283,843.50 is: 51,009,619,892.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,032,172,213 : 32,754,283,843.50 = 32,754,283,843.50 : x
  2. Step 2: Convert to fraction form
    21,032,172,213/32,754,283,843.50 = 32,754,283,843.50/x
  3. Step 3: Cross multiply
    21,032,172,213x = 32,754,283,843.50 × 32,754,283,843.50
  4. Step 4: Simplify right side
    21,032,172,213x = 1,072,843,110,100,565,098,496
  5. Step 5: Solve for x
    x = 1,072,843,110,100,565,098,496/21,032,172,213
  6. Step 6: Final answer
    x = 51,009,619,892.59

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.