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Finding the Third Proportional to 5,297,988 and 11,075,656

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Solution

The third proportional to 5,297,988 and 11,075,656 is: 23,154,102.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297,988 : 11,075,656 = 11,075,656 : x
  2. Step 2: Convert to fraction form
    5,297,988/11,075,656 = 11,075,656/x
  3. Step 3: Cross multiply
    5,297,988x = 11,075,656 × 11,075,656
  4. Step 4: Simplify right side
    5,297,988x = 122,670,155,830,336
  5. Step 5: Solve for x
    x = 122,670,155,830,336/5,297,988
  6. Step 6: Final answer
    x = 23,154,102.24

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.