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Finding the Third Proportional to 1,810,345,084 and 3,909,164,216

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Solution

The third proportional to 1,810,345,084 and 3,909,164,216 is: 8,441,244,159.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810,345,084 : 3,909,164,216 = 3,909,164,216 : x
  2. Step 2: Convert to fraction form
    1,810,345,084/3,909,164,216 = 3,909,164,216/x
  3. Step 3: Cross multiply
    1,810,345,084x = 3,909,164,216 × 3,909,164,216
  4. Step 4: Simplify right side
    1,810,345,084x = 15,281,564,867,654,895,616
  5. Step 5: Solve for x
    x = 15,281,564,867,654,895,616/1,810,345,084
  6. Step 6: Final answer
    x = 8,441,244,159.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.