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Finding the Third Proportional to 6,488,510,202 and 13,320,995,896

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Solution

The third proportional to 6,488,510,202 and 13,320,995,896 is: 27,348,177,954.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488,510,202 : 13,320,995,896 = 13,320,995,896 : x
  2. Step 2: Convert to fraction form
    6,488,510,202/13,320,995,896 = 13,320,995,896/x
  3. Step 3: Cross multiply
    6,488,510,202x = 13,320,995,896 × 13,320,995,896
  4. Step 4: Simplify right side
    6,488,510,202x = 177,448,931,661,248,856,064
  5. Step 5: Solve for x
    x = 177,448,931,661,248,856,064/6,488,510,202
  6. Step 6: Final answer
    x = 27,348,177,954.09

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.