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Finding the Third Proportional to 931,670,496 and 1,994,218,560

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Solution

The third proportional to 931,670,496 and 1,994,218,560 is: 4,268,577,444.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,670,496 : 1,994,218,560 = 1,994,218,560 : x
  2. Step 2: Convert to fraction form
    931,670,496/1,994,218,560 = 1,994,218,560/x
  3. Step 3: Cross multiply
    931,670,496x = 1,994,218,560 × 1,994,218,560
  4. Step 4: Simplify right side
    931,670,496x = 3,976,907,665,048,473,600
  5. Step 5: Solve for x
    x = 3,976,907,665,048,473,600/931,670,496
  6. Step 6: Final answer
    x = 4,268,577,444.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.