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Finding the Third Proportional to 3,666,948,030.84 and 7,943,083,932.09

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Solution

The third proportional to 3,666,948,030.84 and 7,943,083,932.09 is: 17,205,747,619.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666,948,030.84 : 7,943,083,932.09 = 7,943,083,932.09 : x
  2. Step 2: Convert to fraction form
    3,666,948,030.84/7,943,083,932.09 = 7,943,083,932.09/x
  3. Step 3: Cross multiply
    3,666,948,030.84x = 7,943,083,932.09 × 7,943,083,932.09
  4. Step 4: Simplify right side
    3,666,948,030.84x = 63,092,582,352,286,695,424
  5. Step 5: Solve for x
    x = 63,092,582,352,286,695,424/3,666,948,030.84
  6. Step 6: Final answer
    x = 17,205,747,619.44

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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.