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Finding the Third Proportional to 45,275,410 and 97,724,180

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Solution

The third proportional to 45,275,410 and 97,724,180 is: 210,931,615.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,275,410 : 97,724,180 = 97,724,180 : x
  2. Step 2: Convert to fraction form
    45,275,410/97,724,180 = 97,724,180/x
  3. Step 3: Cross multiply
    45,275,410x = 97,724,180 × 97,724,180
  4. Step 4: Simplify right side
    45,275,410x = 9,550,015,356,672,400
  5. Step 5: Solve for x
    x = 9,550,015,356,672,400/45,275,410
  6. Step 6: Final answer
    x = 210,931,615.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.