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Finding the Third Proportional to 46,135,734 and 64,886,823

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Solution

The third proportional to 46,135,734 and 64,886,823 is: 91,258,975.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,135,734 : 64,886,823 = 64,886,823 : x
  2. Step 2: Convert to fraction form
    46,135,734/64,886,823 = 64,886,823/x
  3. Step 3: Cross multiply
    46,135,734x = 64,886,823 × 64,886,823
  4. Step 4: Simplify right side
    46,135,734x = 4,210,299,799,033,329
  5. Step 5: Solve for x
    x = 4,210,299,799,033,329/46,135,734
  6. Step 6: Final answer
    x = 91,258,975.07

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.