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Finding the Third Proportional to 562,176,471 and 839,957,955.75

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Solution

The third proportional to 562,176,471 and 839,957,955.75 is: 1,254,996,257.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,176,471 : 839,957,955.75 = 839,957,955.75 : x
  2. Step 2: Convert to fraction form
    562,176,471/839,957,955.75 = 839,957,955.75/x
  3. Step 3: Cross multiply
    562,176,471x = 839,957,955.75 × 839,957,955.75
  4. Step 4: Simplify right side
    562,176,471x = 705,529,367,427,718,912
  5. Step 5: Solve for x
    x = 705,529,367,427,718,912/562,176,471
  6. Step 6: Final answer
    x = 1,254,996,257.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.