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Finding the Third Proportional to 128,865,831,118 and 261,406,111,738

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Solution

The third proportional to 128,865,831,118 and 261,406,111,738 is: 530,265,894,854.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,865,831,118 : 261,406,111,738 = 261,406,111,738 : x
  2. Step 2: Convert to fraction form
    128,865,831,118/261,406,111,738 = 261,406,111,738/x
  3. Step 3: Cross multiply
    128,865,831,118x = 261,406,111,738 × 261,406,111,738
  4. Step 4: Simplify right side
    128,865,831,118x = 68,333,155,253,979,740,897,280
  5. Step 5: Solve for x
    x = 68,333,155,253,979,740,897,280/128,865,831,118
  6. Step 6: Final answer
    x = 530,265,894,854.69

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.