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Finding the Third Proportional to 34,814,616,672 and 52,258,773,771

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Solution

The third proportional to 34,814,616,672 and 52,258,773,771 is: 78,443,472,802.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,814,616,672 : 52,258,773,771 = 52,258,773,771 : x
  2. Step 2: Convert to fraction form
    34,814,616,672/52,258,773,771 = 52,258,773,771/x
  3. Step 3: Cross multiply
    34,814,616,672x = 52,258,773,771 × 52,258,773,771
  4. Step 4: Simplify right side
    34,814,616,672x = 2,730,979,436,048,557,801,472
  5. Step 5: Solve for x
    x = 2,730,979,436,048,557,801,472/34,814,616,672
  6. Step 6: Final answer
    x = 78,443,472,802.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.