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Finding the Third Proportional to 36,316,747 and 78,370,633

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Solution

The third proportional to 36,316,747 and 78,370,633 is: 169,121,868.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,316,747 : 78,370,633 = 78,370,633 : x
  2. Step 2: Convert to fraction form
    36,316,747/78,370,633 = 78,370,633/x
  3. Step 3: Cross multiply
    36,316,747x = 78,370,633 × 78,370,633
  4. Step 4: Simplify right side
    36,316,747x = 6,141,956,116,820,689
  5. Step 5: Solve for x
    x = 6,141,956,116,820,689/36,316,747
  6. Step 6: Final answer
    x = 169,121,868.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.