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Finding the Third Proportional to 1,634,299,342 and 2,293,245,502

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Solution

The third proportional to 1,634,299,342 and 2,293,245,502 is: 3,217,877,409.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634,299,342 : 2,293,245,502 = 2,293,245,502 : x
  2. Step 2: Convert to fraction form
    1,634,299,342/2,293,245,502 = 2,293,245,502/x
  3. Step 3: Cross multiply
    1,634,299,342x = 2,293,245,502 × 2,293,245,502
  4. Step 4: Simplify right side
    1,634,299,342x = 5,258,974,932,443,232,256
  5. Step 5: Solve for x
    x = 5,258,974,932,443,232,256/1,634,299,342
  6. Step 6: Final answer
    x = 3,217,877,409.17

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.