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Finding the Third Proportional to 8,004,226,437 and 17,386,335,396

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Solution

The third proportional to 8,004,226,437 and 17,386,335,396 is: 37,765,630,555.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,004,226,437 : 17,386,335,396 = 17,386,335,396 : x
  2. Step 2: Convert to fraction form
    8,004,226,437/17,386,335,396 = 17,386,335,396/x
  3. Step 3: Cross multiply
    8,004,226,437x = 17,386,335,396 × 17,386,335,396
  4. Step 4: Simplify right side
    8,004,226,437x = 302,284,658,502,202,490,880
  5. Step 5: Solve for x
    x = 302,284,658,502,202,490,880/8,004,226,437
  6. Step 6: Final answer
    x = 37,765,630,555.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.