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Finding the Third Proportional to 54,130,016 and 78,208,524

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Solution

The third proportional to 54,130,016 and 78,208,524 is: 112,997,809.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,130,016 : 78,208,524 = 78,208,524 : x
  2. Step 2: Convert to fraction form
    54,130,016/78,208,524 = 78,208,524/x
  3. Step 3: Cross multiply
    54,130,016x = 78,208,524 × 78,208,524
  4. Step 4: Simplify right side
    54,130,016x = 6,116,573,226,258,576
  5. Step 5: Solve for x
    x = 6,116,573,226,258,576/54,130,016
  6. Step 6: Final answer
    x = 112,997,809.32

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.