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Finding the Third Proportional to 32,781,289,772 and 70,534,465,813

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Solution

The third proportional to 32,781,289,772 and 70,534,465,813 is: 151,766,782,275.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,781,289,772 : 70,534,465,813 = 70,534,465,813 : x
  2. Step 2: Convert to fraction form
    32,781,289,772/70,534,465,813 = 70,534,465,813/x
  3. Step 3: Cross multiply
    32,781,289,772x = 70,534,465,813 × 70,534,465,813
  4. Step 4: Simplify right side
    32,781,289,772x = 4,975,110,867,525,265,522,688
  5. Step 5: Solve for x
    x = 4,975,110,867,525,265,522,688/32,781,289,772
  6. Step 6: Final answer
    x = 151,766,782,275.14

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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.