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Finding the Third Proportional to 4,335,738,760.50 and 6,899,012,718

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Solution

The third proportional to 4,335,738,760.50 and 6,899,012,718 is: 10,977,685,490.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,335,738,760.50 : 6,899,012,718 = 6,899,012,718 : x
  2. Step 2: Convert to fraction form
    4,335,738,760.50/6,899,012,718 = 6,899,012,718/x
  3. Step 3: Cross multiply
    4,335,738,760.50x = 6,899,012,718 × 6,899,012,718
  4. Step 4: Simplify right side
    4,335,738,760.50x = 47,596,376,483,125,747,712
  5. Step 5: Solve for x
    x = 47,596,376,483,125,747,712/4,335,738,760.50
  6. Step 6: Final answer
    x = 10,977,685,490.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.