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Finding the Third Proportional to 59,026,740,686 and 127,459,119,984

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Solution

The third proportional to 59,026,740,686 and 127,459,119,984 is: 275,228,262,280.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,026,740,686 : 127,459,119,984 = 127,459,119,984 : x
  2. Step 2: Convert to fraction form
    59,026,740,686/127,459,119,984 = 127,459,119,984/x
  3. Step 3: Cross multiply
    59,026,740,686x = 127,459,119,984 × 127,459,119,984
  4. Step 4: Simplify right side
    59,026,740,686x = 16,245,827,267,095,708,041,216
  5. Step 5: Solve for x
    x = 16,245,827,267,095,708,041,216/59,026,740,686
  6. Step 6: Final answer
    x = 275,228,262,280.61

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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.