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Finding the Third Proportional to 30,057,641 and 65,649,280

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Solution

The third proportional to 30,057,641 and 65,649,280 is: 143,385,436.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,057,641 : 65,649,280 = 65,649,280 : x
  2. Step 2: Convert to fraction form
    30,057,641/65,649,280 = 65,649,280/x
  3. Step 3: Cross multiply
    30,057,641x = 65,649,280 × 65,649,280
  4. Step 4: Simplify right side
    30,057,641x = 4,309,827,964,518,400
  5. Step 5: Solve for x
    x = 4,309,827,964,518,400/30,057,641
  6. Step 6: Final answer
    x = 143,385,436.15

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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.