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Finding the Third Proportional to 61,363,539,972 and 143,372,917,751

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Solution

The third proportional to 61,363,539,972 and 143,372,917,751 is: 334,983,828,407.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,363,539,972 : 143,372,917,751 = 143,372,917,751 : x
  2. Step 2: Convert to fraction form
    61,363,539,972/143,372,917,751 = 143,372,917,751/x
  3. Step 3: Cross multiply
    61,363,539,972x = 143,372,917,751 × 143,372,917,751
  4. Step 4: Simplify right side
    61,363,539,972x = 20,555,793,544,435,009,060,864
  5. Step 5: Solve for x
    x = 20,555,793,544,435,009,060,864/61,363,539,972
  6. Step 6: Final answer
    x = 334,983,828,407.14

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.