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Finding the Third Proportional to 1,008,426,672 and 2,193,539,616

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Solution

The third proportional to 1,008,426,672 and 2,193,539,616 is: 4,771,408,948.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008,426,672 : 2,193,539,616 = 2,193,539,616 : x
  2. Step 2: Convert to fraction form
    1,008,426,672/2,193,539,616 = 2,193,539,616/x
  3. Step 3: Cross multiply
    1,008,426,672x = 2,193,539,616 × 2,193,539,616
  4. Step 4: Simplify right side
    1,008,426,672x = 4,811,616,046,961,427,456
  5. Step 5: Solve for x
    x = 4,811,616,046,961,427,456/1,008,426,672
  6. Step 6: Final answer
    x = 4,771,408,948.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.