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Finding the Third Proportional to 82,290,007 and 112,082,830

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Solution

The third proportional to 82,290,007 and 112,082,830 is: 152,662,045.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,290,007 : 112,082,830 = 112,082,830 : x
  2. Step 2: Convert to fraction form
    82,290,007/112,082,830 = 112,082,830/x
  3. Step 3: Cross multiply
    82,290,007x = 112,082,830 × 112,082,830
  4. Step 4: Simplify right side
    82,290,007x = 12,562,560,780,808,900
  5. Step 5: Solve for x
    x = 12,562,560,780,808,900/82,290,007
  6. Step 6: Final answer
    x = 152,662,045.35

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.