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Finding the Third Proportional to 30,321,664 and 65,750,192

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Solution

The third proportional to 30,321,664 and 65,750,192 is: 142,574,225.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,321,664 : 65,750,192 = 65,750,192 : x
  2. Step 2: Convert to fraction form
    30,321,664/65,750,192 = 65,750,192/x
  3. Step 3: Cross multiply
    30,321,664x = 65,750,192 × 65,750,192
  4. Step 4: Simplify right side
    30,321,664x = 4,323,087,748,036,864
  5. Step 5: Solve for x
    x = 4,323,087,748,036,864/30,321,664
  6. Step 6: Final answer
    x = 142,574,225.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.