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Finding the Third Proportional to 23,128,294,662 and 31,205,500,035

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Solution

The third proportional to 23,128,294,662 and 31,205,500,035 is: 42,103,546,615.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,128,294,662 : 31,205,500,035 = 31,205,500,035 : x
  2. Step 2: Convert to fraction form
    23,128,294,662/31,205,500,035 = 31,205,500,035/x
  3. Step 3: Cross multiply
    23,128,294,662x = 31,205,500,035 × 31,205,500,035
  4. Step 4: Simplify right side
    23,128,294,662x = 973,783,232,434,385,059,840
  5. Step 5: Solve for x
    x = 973,783,232,434,385,059,840/23,128,294,662
  6. Step 6: Final answer
    x = 42,103,546,615.32

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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.