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Finding the Third Proportional to 23,128,294,680 and 31,205,500,058

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Solution

The third proportional to 23,128,294,680 and 31,205,500,058 is: 42,103,546,644.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,128,294,680 : 31,205,500,058 = 31,205,500,058 : x
  2. Step 2: Convert to fraction form
    23,128,294,680/31,205,500,058 = 31,205,500,058/x
  3. Step 3: Cross multiply
    23,128,294,680x = 31,205,500,058 × 31,205,500,058
  4. Step 4: Simplify right side
    23,128,294,680x = 973,783,233,869,838,024,704
  5. Step 5: Solve for x
    x = 973,783,233,869,838,024,704/23,128,294,680
  6. Step 6: Final answer
    x = 42,103,546,644.62

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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.