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Finding the Third Proportional to 2,034,895,646 and 4,407,847,276

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Solution

The third proportional to 2,034,895,646 and 4,407,847,276 is: 9,547,967,556.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034,895,646 : 4,407,847,276 = 4,407,847,276 : x
  2. Step 2: Convert to fraction form
    2,034,895,646/4,407,847,276 = 4,407,847,276/x
  3. Step 3: Cross multiply
    2,034,895,646x = 4,407,847,276 × 4,407,847,276
  4. Step 4: Simplify right side
    2,034,895,646x = 19,429,117,608,540,618,752
  5. Step 5: Solve for x
    x = 19,429,117,608,540,618,752/2,034,895,646
  6. Step 6: Final answer
    x = 9,547,967,556.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.