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Finding the Third Proportional to 1,875,748,414 and 3,994,096,364

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Solution

The third proportional to 1,875,748,414 and 3,994,096,364 is: 8,504,768,361.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875,748,414 : 3,994,096,364 = 3,994,096,364 : x
  2. Step 2: Convert to fraction form
    1,875,748,414/3,994,096,364 = 3,994,096,364/x
  3. Step 3: Cross multiply
    1,875,748,414x = 3,994,096,364 × 3,994,096,364
  4. Step 4: Simplify right side
    1,875,748,414x = 15,952,805,764,918,020,096
  5. Step 5: Solve for x
    x = 15,952,805,764,918,020,096/1,875,748,414
  6. Step 6: Final answer
    x = 8,504,768,361.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.