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Finding the Third Proportional to 2,773,296,484 and 5,643,448,264

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Solution

The third proportional to 2,773,296,484 and 5,643,448,264 is: 11,483,989,718.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773,296,484 : 5,643,448,264 = 5,643,448,264 : x
  2. Step 2: Convert to fraction form
    2,773,296,484/5,643,448,264 = 5,643,448,264/x
  3. Step 3: Cross multiply
    2,773,296,484x = 5,643,448,264 × 5,643,448,264
  4. Step 4: Simplify right side
    2,773,296,484x = 31,848,508,308,444,614,656
  5. Step 5: Solve for x
    x = 31,848,508,308,444,614,656/2,773,296,484
  6. Step 6: Final answer
    x = 11,483,989,718.44

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.