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Finding the Third Proportional to 34,913,646 and 75,870,702

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Solution

The third proportional to 34,913,646 and 75,870,702 is: 164,874,313.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,913,646 : 75,870,702 = 75,870,702 : x
  2. Step 2: Convert to fraction form
    34,913,646/75,870,702 = 75,870,702/x
  3. Step 3: Cross multiply
    34,913,646x = 75,870,702 × 75,870,702
  4. Step 4: Simplify right side
    34,913,646x = 5,756,363,421,972,804
  5. Step 5: Solve for x
    x = 5,756,363,421,972,804/34,913,646
  6. Step 6: Final answer
    x = 164,874,313.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.