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Finding the Third Proportional to 31,880,526 and 66,029,502

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Solution

The third proportional to 31,880,526 and 66,029,502 is: 136,757,314.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,880,526 : 66,029,502 = 66,029,502 : x
  2. Step 2: Convert to fraction form
    31,880,526/66,029,502 = 66,029,502/x
  3. Step 3: Cross multiply
    31,880,526x = 66,029,502 × 66,029,502
  4. Step 4: Simplify right side
    31,880,526x = 4,359,895,134,368,004
  5. Step 5: Solve for x
    x = 4,359,895,134,368,004/31,880,526
  6. Step 6: Final answer
    x = 136,757,314.93

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.