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Finding the Third Proportional to 3,537,436,566 and 7,571,798,900

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Solution

The third proportional to 3,537,436,566 and 7,571,798,900 is: 16,207,255,596.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537,436,566 : 7,571,798,900 = 7,571,798,900 : x
  2. Step 2: Convert to fraction form
    3,537,436,566/7,571,798,900 = 7,571,798,900/x
  3. Step 3: Cross multiply
    3,537,436,566x = 7,571,798,900 × 7,571,798,900
  4. Step 4: Simplify right side
    3,537,436,566x = 57,332,138,582,041,206,784
  5. Step 5: Solve for x
    x = 57,332,138,582,041,206,784/3,537,436,566
  6. Step 6: Final answer
    x = 16,207,255,596.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.