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Finding the Third Proportional to 69,756,936 and 162,931,806

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Solution

The third proportional to 69,756,936 and 162,931,806 is: 380,561,058.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,756,936 : 162,931,806 = 162,931,806 : x
  2. Step 2: Convert to fraction form
    69,756,936/162,931,806 = 162,931,806/x
  3. Step 3: Cross multiply
    69,756,936x = 162,931,806 × 162,931,806
  4. Step 4: Simplify right side
    69,756,936x = 26,546,773,406,421,636
  5. Step 5: Solve for x
    x = 26,546,773,406,421,636/69,756,936
  6. Step 6: Final answer
    x = 380,561,058.57

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.