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Finding the Third Proportional to 7,447,358,824 and 16,202,251,555

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Solution

The third proportional to 7,447,358,824 and 16,202,251,555 is: 35,249,134,848.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447,358,824 : 16,202,251,555 = 16,202,251,555 : x
  2. Step 2: Convert to fraction form
    7,447,358,824/16,202,251,555 = 16,202,251,555/x
  3. Step 3: Cross multiply
    7,447,358,824x = 16,202,251,555 × 16,202,251,555
  4. Step 4: Simplify right side
    7,447,358,824x = 262,512,955,451,499,905,024
  5. Step 5: Solve for x
    x = 262,512,955,451,499,905,024/7,447,358,824
  6. Step 6: Final answer
    x = 35,249,134,848.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.