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Finding the Third Proportional to 70,492,527 and 107,764,911

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Solution

The third proportional to 70,492,527 and 107,764,911 is: 164,744,782.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,492,527 : 107,764,911 = 107,764,911 : x
  2. Step 2: Convert to fraction form
    70,492,527/107,764,911 = 107,764,911/x
  3. Step 3: Cross multiply
    70,492,527x = 107,764,911 × 107,764,911
  4. Step 4: Simplify right side
    70,492,527x = 11,613,276,042,837,920
  5. Step 5: Solve for x
    x = 11,613,276,042,837,920/70,492,527
  6. Step 6: Final answer
    x = 164,744,782.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.