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Finding the Third Proportional to 1,626,208,627 and 2,194,137,233

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Solution

The third proportional to 1,626,208,627 and 2,194,137,233 is: 2,960,406,258.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626,208,627 : 2,194,137,233 = 2,194,137,233 : x
  2. Step 2: Convert to fraction form
    1,626,208,627/2,194,137,233 = 2,194,137,233/x
  3. Step 3: Cross multiply
    1,626,208,627x = 2,194,137,233 × 2,194,137,233
  4. Step 4: Simplify right side
    1,626,208,627x = 4,814,238,197,236,896,768
  5. Step 5: Solve for x
    x = 4,814,238,197,236,896,768/1,626,208,627
  6. Step 6: Final answer
    x = 2,960,406,258.65

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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.