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Finding the Third Proportional to 714,457,325 and 1,538,388,216

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Solution

The third proportional to 714,457,325 and 1,538,388,216 is: 3,312,497,780.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,457,325 : 1,538,388,216 = 1,538,388,216 : x
  2. Step 2: Convert to fraction form
    714,457,325/1,538,388,216 = 1,538,388,216/x
  3. Step 3: Cross multiply
    714,457,325x = 1,538,388,216 × 1,538,388,216
  4. Step 4: Simplify right side
    714,457,325x = 2,366,638,303,127,662,592
  5. Step 5: Solve for x
    x = 2,366,638,303,127,662,592/714,457,325
  6. Step 6: Final answer
    x = 3,312,497,780.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.