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Finding the Third Proportional to 6,403,024,500 and 13,874,736,747

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Solution

The third proportional to 6,403,024,500 and 13,874,736,747 is: 30,065,216,804.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403,024,500 : 13,874,736,747 = 13,874,736,747 : x
  2. Step 2: Convert to fraction form
    6,403,024,500/13,874,736,747 = 13,874,736,747/x
  3. Step 3: Cross multiply
    6,403,024,500x = 13,874,736,747 × 13,874,736,747
  4. Step 4: Simplify right side
    6,403,024,500x = 192,508,319,798,552,133,632
  5. Step 5: Solve for x
    x = 192,508,319,798,552,133,632/6,403,024,500
  6. Step 6: Final answer
    x = 30,065,216,804.74

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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.