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Finding the Third Proportional to 3,085,369,804 and 4,700,242,112

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Solution

The third proportional to 3,085,369,804 and 4,700,242,112 is: 7,160,333,222.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085,369,804 : 4,700,242,112 = 4,700,242,112 : x
  2. Step 2: Convert to fraction form
    3,085,369,804/4,700,242,112 = 4,700,242,112/x
  3. Step 3: Cross multiply
    3,085,369,804x = 4,700,242,112 × 4,700,242,112
  4. Step 4: Simplify right side
    3,085,369,804x = 22,092,275,911,418,220,544
  5. Step 5: Solve for x
    x = 22,092,275,911,418,220,544/3,085,369,804
  6. Step 6: Final answer
    x = 7,160,333,222.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.