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Finding the Third Proportional to 21,596,815,071 and 33,657,889,474.50

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Solution

The third proportional to 21,596,815,071 and 33,657,889,474.50 is: 52,454,656,862.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,596,815,071 : 33,657,889,474.50 = 33,657,889,474.50 : x
  2. Step 2: Convert to fraction form
    21,596,815,071/33,657,889,474.50 = 33,657,889,474.50/x
  3. Step 3: Cross multiply
    21,596,815,071x = 33,657,889,474.50 × 33,657,889,474.50
  4. Step 4: Simplify right side
    21,596,815,071x = 1,132,853,523,877,657,837,568
  5. Step 5: Solve for x
    x = 1,132,853,523,877,657,837,568/21,596,815,071
  6. Step 6: Final answer
    x = 52,454,656,862.75

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Why These Related Problems?

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