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Finding the Third Proportional to 78,058,000,632 and 105,318,569,537

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Solution

The third proportional to 78,058,000,632 and 105,318,569,537 is: 142,099,477,305.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,058,000,632 : 105,318,569,537 = 105,318,569,537 : x
  2. Step 2: Convert to fraction form
    78,058,000,632/105,318,569,537 = 105,318,569,537/x
  3. Step 3: Cross multiply
    78,058,000,632x = 105,318,569,537 × 105,318,569,537
  4. Step 4: Simplify right side
    78,058,000,632x = 11,092,001,089,319,904,215,040
  5. Step 5: Solve for x
    x = 11,092,001,089,319,904,215,040/78,058,000,632
  6. Step 6: Final answer
    x = 142,099,477,305.50

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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.