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Finding the Third Proportional to 70,066,663 and 163,707,340

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Solution

The third proportional to 70,066,663 and 163,707,340 is: 382,494,213.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,066,663 : 163,707,340 = 163,707,340 : x
  2. Step 2: Convert to fraction form
    70,066,663/163,707,340 = 163,707,340/x
  3. Step 3: Cross multiply
    70,066,663x = 163,707,340 × 163,707,340
  4. Step 4: Simplify right side
    70,066,663x = 26,800,093,169,875,600
  5. Step 5: Solve for x
    x = 26,800,093,169,875,600/70,066,663
  6. Step 6: Final answer
    x = 382,494,213.69

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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.