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Finding the Third Proportional to 12,567,417,978 and 27,341,299,440

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Solution

The third proportional to 12,567,417,978 and 27,341,299,440 is: 59,482,914,977.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,567,417,978 : 27,341,299,440 = 27,341,299,440 : x
  2. Step 2: Convert to fraction form
    12,567,417,978/27,341,299,440 = 27,341,299,440/x
  3. Step 3: Cross multiply
    12,567,417,978x = 27,341,299,440 × 27,341,299,440
  4. Step 4: Simplify right side
    12,567,417,978x = 747,546,655,067,744,370,688
  5. Step 5: Solve for x
    x = 747,546,655,067,744,370,688/12,567,417,978
  6. Step 6: Final answer
    x = 59,482,914,977.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.