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Finding the Third Proportional to 566,432,433 and 874,804,010

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Solution

The third proportional to 566,432,433 and 874,804,010 is: 1,351,056,209.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,432,433 : 874,804,010 = 874,804,010 : x
  2. Step 2: Convert to fraction form
    566,432,433/874,804,010 = 874,804,010/x
  3. Step 3: Cross multiply
    566,432,433x = 874,804,010 × 874,804,010
  4. Step 4: Simplify right side
    566,432,433x = 765,282,055,912,080,128
  5. Step 5: Solve for x
    x = 765,282,055,912,080,128/566,432,433
  6. Step 6: Final answer
    x = 1,351,056,209.58

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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.