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Finding the Third Proportional to 32,781,289,770 and 70,534,465,809

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Solution

The third proportional to 32,781,289,770 and 70,534,465,809 is: 151,766,782,267.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,781,289,770 : 70,534,465,809 = 70,534,465,809 : x
  2. Step 2: Convert to fraction form
    32,781,289,770/70,534,465,809 = 70,534,465,809/x
  3. Step 3: Cross multiply
    32,781,289,770x = 70,534,465,809 × 70,534,465,809
  4. Step 4: Simplify right side
    32,781,289,770x = 4,975,110,866,960,990,076,928
  5. Step 5: Solve for x
    x = 4,975,110,866,960,990,076,928/32,781,289,770
  6. Step 6: Final answer
    x = 151,766,782,267.18

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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.