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Finding the Third Proportional to 41,456,510,930 and 89,518,842,148

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Solution

The third proportional to 41,456,510,930 and 89,518,842,148 is: 193,301,918,558.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,456,510,930 : 89,518,842,148 = 89,518,842,148 : x
  2. Step 2: Convert to fraction form
    41,456,510,930/89,518,842,148 = 89,518,842,148/x
  3. Step 3: Cross multiply
    41,456,510,930x = 89,518,842,148 × 89,518,842,148
  4. Step 4: Simplify right side
    41,456,510,930x = 8,013,623,099,518,541,103,104
  5. Step 5: Solve for x
    x = 8,013,623,099,518,541,103,104/41,456,510,930
  6. Step 6: Final answer
    x = 193,301,918,558.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.