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Finding the Third Proportional to 638,574,415.50 and 1,376,823,542.50

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Solution

The third proportional to 638,574,415.50 and 1,376,823,542.50 is: 2,968,554,676.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,574,415.50 : 1,376,823,542.50 = 1,376,823,542.50 : x
  2. Step 2: Convert to fraction form
    638,574,415.50/1,376,823,542.50 = 1,376,823,542.50/x
  3. Step 3: Cross multiply
    638,574,415.50x = 1,376,823,542.50 × 1,376,823,542.50
  4. Step 4: Simplify right side
    638,574,415.50x = 1,895,643,067,182,249,216
  5. Step 5: Solve for x
    x = 1,895,643,067,182,249,216/638,574,415.50
  6. Step 6: Final answer
    x = 2,968,554,676.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.