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Finding the Third Proportional to 4,375,773,284 and 9,415,213,388

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Solution

The third proportional to 4,375,773,284 and 9,415,213,388 is: 20,258,417,744.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,375,773,284 : 9,415,213,388 = 9,415,213,388 : x
  2. Step 2: Convert to fraction form
    4,375,773,284/9,415,213,388 = 9,415,213,388/x
  3. Step 3: Cross multiply
    4,375,773,284x = 9,415,213,388 × 9,415,213,388
  4. Step 4: Simplify right side
    4,375,773,284x = 88,646,243,141,574,443,008
  5. Step 5: Solve for x
    x = 88,646,243,141,574,443,008/4,375,773,284
  6. Step 6: Final answer
    x = 20,258,417,744.29

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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.