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Finding the Third Proportional to 69,835,547 and 164,621,804

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Solution

The third proportional to 69,835,547 and 164,621,804 is: 388,059,369.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,835,547 : 164,621,804 = 164,621,804 : x
  2. Step 2: Convert to fraction form
    69,835,547/164,621,804 = 164,621,804/x
  3. Step 3: Cross multiply
    69,835,547x = 164,621,804 × 164,621,804
  4. Step 4: Simplify right side
    69,835,547x = 27,100,338,352,214,416
  5. Step 5: Solve for x
    x = 27,100,338,352,214,416/69,835,547
  6. Step 6: Final answer
    x = 388,059,369.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.