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Finding the Third Proportional to 1,553,126,902 and 2,099,058,053

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Solution

The third proportional to 1,553,126,902 and 2,099,058,053 is: 2,836,886,479.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553,126,902 : 2,099,058,053 = 2,099,058,053 : x
  2. Step 2: Convert to fraction form
    1,553,126,902/2,099,058,053 = 2,099,058,053/x
  3. Step 3: Cross multiply
    1,553,126,902x = 2,099,058,053 × 2,099,058,053
  4. Step 4: Simplify right side
    1,553,126,902x = 4,406,044,709,864,151,040
  5. Step 5: Solve for x
    x = 4,406,044,709,864,151,040/1,553,126,902
  6. Step 6: Final answer
    x = 2,836,886,479.91

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.