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Finding the Third Proportional to 46,135,738 and 64,886,829

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Solution

The third proportional to 46,135,738 and 64,886,829 is: 91,258,984.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,135,738 : 64,886,829 = 64,886,829 : x
  2. Step 2: Convert to fraction form
    46,135,738/64,886,829 = 64,886,829/x
  3. Step 3: Cross multiply
    46,135,738x = 64,886,829 × 64,886,829
  4. Step 4: Simplify right side
    46,135,738x = 4,210,300,577,675,241
  5. Step 5: Solve for x
    x = 4,210,300,577,675,241/46,135,738
  6. Step 6: Final answer
    x = 91,258,984.04

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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.