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Finding the Third Proportional to 69,109,195,728 and 103,210,927,110

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Solution

The third proportional to 69,109,195,728 and 103,210,927,110 is: 154,140,058,536.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,109,195,728 : 103,210,927,110 = 103,210,927,110 : x
  2. Step 2: Convert to fraction form
    69,109,195,728/103,210,927,110 = 103,210,927,110/x
  3. Step 3: Cross multiply
    69,109,195,728x = 103,210,927,110 × 103,210,927,110
  4. Step 4: Simplify right side
    69,109,195,728x = 10,652,495,474,905,732,612,096
  5. Step 5: Solve for x
    x = 10,652,495,474,905,732,612,096/69,109,195,728
  6. Step 6: Final answer
    x = 154,140,058,536.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.