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Finding the Third Proportional to 46,734,007 and 101,697,088

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Solution

The third proportional to 46,734,007 and 101,697,088 is: 221,301,325.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,734,007 : 101,697,088 = 101,697,088 : x
  2. Step 2: Convert to fraction form
    46,734,007/101,697,088 = 101,697,088/x
  3. Step 3: Cross multiply
    46,734,007x = 101,697,088 × 101,697,088
  4. Step 4: Simplify right side
    46,734,007x = 10,342,297,707,679,744
  5. Step 5: Solve for x
    x = 10,342,297,707,679,744/46,734,007
  6. Step 6: Final answer
    x = 221,301,325.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.