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Finding the Third Proportional to 71,897,918,774 and 156,310,415,111

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Solution

The third proportional to 71,897,918,774 and 156,310,415,111 is: 339,828,277,213.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,897,918,774 : 156,310,415,111 = 156,310,415,111 : x
  2. Step 2: Convert to fraction form
    71,897,918,774/156,310,415,111 = 156,310,415,111/x
  3. Step 3: Cross multiply
    71,897,918,774x = 156,310,415,111 × 156,310,415,111
  4. Step 4: Simplify right side
    71,897,918,774x = 24,432,945,872,173,136,871,424
  5. Step 5: Solve for x
    x = 24,432,945,872,173,136,871,424/71,897,918,774
  6. Step 6: Final answer
    x = 339,828,277,213.06

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