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Finding the Third Proportional to 32,781,290,258 and 70,534,466,788

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Solution

The third proportional to 32,781,290,258 and 70,534,466,788 is: 151,766,784,220.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,781,290,258 : 70,534,466,788 = 70,534,466,788 : x
  2. Step 2: Convert to fraction form
    32,781,290,258/70,534,466,788 = 70,534,466,788/x
  3. Step 3: Cross multiply
    32,781,290,258x = 70,534,466,788 × 70,534,466,788
  4. Step 4: Simplify right side
    32,781,290,258x = 4,975,111,005,067,475,419,136
  5. Step 5: Solve for x
    x = 4,975,111,005,067,475,419,136/32,781,290,258
  6. Step 6: Final answer
    x = 151,766,784,220.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.