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Finding the Third Proportional to 5,072,408,442 and 8,153,870,008.50

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Solution

The third proportional to 5,072,408,442 and 8,153,870,008.50 is: 13,107,303,340.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072,408,442 : 8,153,870,008.50 = 8,153,870,008.50 : x
  2. Step 2: Convert to fraction form
    5,072,408,442/8,153,870,008.50 = 8,153,870,008.50/x
  3. Step 3: Cross multiply
    5,072,408,442x = 8,153,870,008.50 × 8,153,870,008.50
  4. Step 4: Simplify right side
    5,072,408,442x = 66,485,596,115,515,793,408
  5. Step 5: Solve for x
    x = 66,485,596,115,515,793,408/5,072,408,442
  6. Step 6: Final answer
    x = 13,107,303,340.36

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.