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Finding the Third Proportional to 65,975,056 and 136,475,742

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Solution

The third proportional to 65,975,056 and 136,475,742 is: 282,313,184.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,975,056 : 136,475,742 = 136,475,742 : x
  2. Step 2: Convert to fraction form
    65,975,056/136,475,742 = 136,475,742/x
  3. Step 3: Cross multiply
    65,975,056x = 136,475,742 × 136,475,742
  4. Step 4: Simplify right side
    65,975,056x = 18,625,628,154,450,564
  5. Step 5: Solve for x
    x = 18,625,628,154,450,564/65,975,056
  6. Step 6: Final answer
    x = 282,313,184.46

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.