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Finding the Third Proportional to 40,449,748 and 89,145,148

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Solution

The third proportional to 40,449,748 and 89,145,148 is: 196,462,470.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,449,748 : 89,145,148 = 89,145,148 : x
  2. Step 2: Convert to fraction form
    40,449,748/89,145,148 = 89,145,148/x
  3. Step 3: Cross multiply
    40,449,748x = 89,145,148 × 89,145,148
  4. Step 4: Simplify right side
    40,449,748x = 7,946,857,411,941,904
  5. Step 5: Solve for x
    x = 7,946,857,411,941,904/40,449,748
  6. Step 6: Final answer
    x = 196,462,470.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.