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Finding the Third Proportional to 52,038,676,016 and 70,212,391,408

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Solution

The third proportional to 52,038,676,016 and 70,212,391,408 is: 94,733,000,234.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,038,676,016 : 70,212,391,408 = 70,212,391,408 : x
  2. Step 2: Convert to fraction form
    52,038,676,016/70,212,391,408 = 70,212,391,408/x
  3. Step 3: Cross multiply
    52,038,676,016x = 70,212,391,408 × 70,212,391,408
  4. Step 4: Simplify right side
    52,038,676,016x = 4,929,779,907,230,192,107,520
  5. Step 5: Solve for x
    x = 4,929,779,907,230,192,107,520/52,038,676,016
  6. Step 6: Final answer
    x = 94,733,000,234.57

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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.