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Finding the Third Proportional to 35,831,280 and 76,355,880

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Solution

The third proportional to 35,831,280 and 76,355,880 is: 162,713,149.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,831,280 : 76,355,880 = 76,355,880 : x
  2. Step 2: Convert to fraction form
    35,831,280/76,355,880 = 76,355,880/x
  3. Step 3: Cross multiply
    35,831,280x = 76,355,880 × 76,355,880
  4. Step 4: Simplify right side
    35,831,280x = 5,830,220,410,574,400
  5. Step 5: Solve for x
    x = 5,830,220,410,574,400/35,831,280
  6. Step 6: Final answer
    x = 162,713,149.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.