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Finding the Third Proportional to 286,828,802 and 433,657,155

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Solution

The third proportional to 286,828,802 and 433,657,155 is: 655,647,294.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,828,802 : 433,657,155 = 433,657,155 : x
  2. Step 2: Convert to fraction form
    286,828,802/433,657,155 = 433,657,155/x
  3. Step 3: Cross multiply
    286,828,802x = 433,657,155 × 433,657,155
  4. Step 4: Simplify right side
    286,828,802x = 188,058,528,082,694,016
  5. Step 5: Solve for x
    x = 188,058,528,082,694,016/286,828,802
  6. Step 6: Final answer
    x = 655,647,294.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.