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Finding the Third Proportional to 78,058,013,724 and 105,318,586,692

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Solution

The third proportional to 78,058,013,724 and 105,318,586,692 is: 142,099,499,764.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,058,013,724 : 105,318,586,692 = 105,318,586,692 : x
  2. Step 2: Convert to fraction form
    78,058,013,724/105,318,586,692 = 105,318,586,692/x
  3. Step 3: Cross multiply
    78,058,013,724x = 105,318,586,692 × 105,318,586,692
  4. Step 4: Simplify right side
    78,058,013,724x = 11,092,004,702,800,318,562,304
  5. Step 5: Solve for x
    x = 11,092,004,702,800,318,562,304/78,058,013,724
  6. Step 6: Final answer
    x = 142,099,499,764.62

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.