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Finding the Third Proportional to 8,075,377 and 12,412,411

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Solution

The third proportional to 8,075,377 and 12,412,411 is: 19,078,731.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,075,377 : 12,412,411 = 12,412,411 : x
  2. Step 2: Convert to fraction form
    8,075,377/12,412,411 = 12,412,411/x
  3. Step 3: Cross multiply
    8,075,377x = 12,412,411 × 12,412,411
  4. Step 4: Simplify right side
    8,075,377x = 154,067,946,832,921
  5. Step 5: Solve for x
    x = 154,067,946,832,921/8,075,377
  6. Step 6: Final answer
    x = 19,078,731.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.