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Finding the Third Proportional to 1,398,901,300 and 2,896,847,444

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Solution

The third proportional to 1,398,901,300 and 2,896,847,444 is: 5,998,797,137.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398,901,300 : 2,896,847,444 = 2,896,847,444 : x
  2. Step 2: Convert to fraction form
    1,398,901,300/2,896,847,444 = 2,896,847,444/x
  3. Step 3: Cross multiply
    1,398,901,300x = 2,896,847,444 × 2,896,847,444
  4. Step 4: Simplify right side
    1,398,901,300x = 8,391,725,113,809,333,248
  5. Step 5: Solve for x
    x = 8,391,725,113,809,333,248/1,398,901,300
  6. Step 6: Final answer
    x = 5,998,797,137.30

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.