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Finding the Third Proportional to 554,251,227.75 and 774,875,878.88

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Solution

The third proportional to 554,251,227.75 and 774,875,878.88 is: 1,083,322,142.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,251,227.75 : 774,875,878.88 = 774,875,878.88 : x
  2. Step 2: Convert to fraction form
    554,251,227.75/774,875,878.88 = 774,875,878.88/x
  3. Step 3: Cross multiply
    554,251,227.75x = 774,875,878.88 × 774,875,878.88
  4. Step 4: Simplify right side
    554,251,227.75x = 600,432,627,662,303,616
  5. Step 5: Solve for x
    x = 600,432,627,662,303,616/554,251,227.75
  6. Step 6: Final answer
    x = 1,083,322,142.74

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.