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Finding the Third Proportional to 35,506,742 and 76,498,495

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Solution

The third proportional to 35,506,742 and 76,498,495 is: 164,814,325.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,506,742 : 76,498,495 = 76,498,495 : x
  2. Step 2: Convert to fraction form
    35,506,742/76,498,495 = 76,498,495/x
  3. Step 3: Cross multiply
    35,506,742x = 76,498,495 × 76,498,495
  4. Step 4: Simplify right side
    35,506,742x = 5,852,019,737,265,025
  5. Step 5: Solve for x
    x = 5,852,019,737,265,025/35,506,742
  6. Step 6: Final answer
    x = 164,814,325.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.