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Finding the Third Proportional to 64,676,086,809 and 140,740,831,276.50

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Solution

The third proportional to 64,676,086,809 and 140,740,831,276.50 is: 306,264,379,397.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,676,086,809 : 140,740,831,276.50 = 140,740,831,276.50 : x
  2. Step 2: Convert to fraction form
    64,676,086,809/140,740,831,276.50 = 140,740,831,276.50/x
  3. Step 3: Cross multiply
    64,676,086,809x = 140,740,831,276.50 × 140,740,831,276.50
  4. Step 4: Simplify right side
    64,676,086,809x = 19,807,981,588,400,239,017,984
  5. Step 5: Solve for x
    x = 19,807,981,588,400,239,017,984/64,676,086,809
  6. Step 6: Final answer
    x = 306,264,379,397.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.