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Finding the Third Proportional to 2,219,898,218,056 and 3,532,294,461,372

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Solution

The third proportional to 2,219,898,218,056 and 3,532,294,461,372 is: 5,620,574,880,575.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219,898,218,056 : 3,532,294,461,372 = 3,532,294,461,372 : x
  2. Step 2: Convert to fraction form
    2,219,898,218,056/3,532,294,461,372 = 3,532,294,461,372/x
  3. Step 3: Cross multiply
    2,219,898,218,056x = 3,532,294,461,372 × 3,532,294,461,372
  4. Step 4: Simplify right side
    2,219,898,218,056x = 12,477,104,161,839,307,517,067,264
  5. Step 5: Solve for x
    x = 12,477,104,161,839,307,517,067,264/2,219,898,218,056
  6. Step 6: Final answer
    x = 5,620,574,880,575.25

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.