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Finding the Third Proportional to 566,433,006.75 and 874,804,870.13

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Solution

The third proportional to 566,433,006.75 and 874,804,870.13 is: 1,351,057,497.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,433,006.75 : 874,804,870.13 = 874,804,870.13 : x
  2. Step 2: Convert to fraction form
    566,433,006.75/874,804,870.13 = 874,804,870.13/x
  3. Step 3: Cross multiply
    566,433,006.75x = 874,804,870.13 × 874,804,870.13
  4. Step 4: Simplify right side
    566,433,006.75x = 765,283,560,794,418,176
  5. Step 5: Solve for x
    x = 765,283,560,794,418,176/566,433,006.75
  6. Step 6: Final answer
    x = 1,351,057,497.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.