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Finding the Third Proportional to 63,466,407 and 137,496,942

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Solution

The third proportional to 63,466,407 and 137,496,942 is: 297,880,563.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,466,407 : 137,496,942 = 137,496,942 : x
  2. Step 2: Convert to fraction form
    63,466,407/137,496,942 = 137,496,942/x
  3. Step 3: Cross multiply
    63,466,407x = 137,496,942 × 137,496,942
  4. Step 4: Simplify right side
    63,466,407x = 18,905,409,059,351,364
  5. Step 5: Solve for x
    x = 18,905,409,059,351,364/63,466,407
  6. Step 6: Final answer
    x = 297,880,563.17

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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.