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Finding the Third Proportional to 1,849,896,272 and 2,658,950,256

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Solution

The third proportional to 1,849,896,272 and 2,658,950,256 is: 3,821,844,808.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849,896,272 : 2,658,950,256 = 2,658,950,256 : x
  2. Step 2: Convert to fraction form
    1,849,896,272/2,658,950,256 = 2,658,950,256/x
  3. Step 3: Cross multiply
    1,849,896,272x = 2,658,950,256 × 2,658,950,256
  4. Step 4: Simplify right side
    1,849,896,272x = 7,070,016,463,882,465,280
  5. Step 5: Solve for x
    x = 7,070,016,463,882,465,280/1,849,896,272
  6. Step 6: Final answer
    x = 3,821,844,808.76

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.