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Finding the Third Proportional to 12,292,820 and 17,759,473

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Solution

The third proportional to 12,292,820 and 17,759,473 is: 25,657,162.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,292,820 : 17,759,473 = 17,759,473 : x
  2. Step 2: Convert to fraction form
    12,292,820/17,759,473 = 17,759,473/x
  3. Step 3: Cross multiply
    12,292,820x = 17,759,473 × 17,759,473
  4. Step 4: Simplify right side
    12,292,820x = 315,398,881,237,729
  5. Step 5: Solve for x
    x = 315,398,881,237,729/12,292,820
  6. Step 6: Final answer
    x = 25,657,162.57

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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.