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Finding the Third Proportional to 61,363,539,968 and 143,372,917,742

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Solution

The third proportional to 61,363,539,968 and 143,372,917,742 is: 334,983,828,386.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,363,539,968 : 143,372,917,742 = 143,372,917,742 : x
  2. Step 2: Convert to fraction form
    61,363,539,968/143,372,917,742 = 143,372,917,742/x
  3. Step 3: Cross multiply
    61,363,539,968x = 143,372,917,742 × 143,372,917,742
  4. Step 4: Simplify right side
    61,363,539,968x = 20,555,793,541,854,299,947,008
  5. Step 5: Solve for x
    x = 20,555,793,541,854,299,947,008/61,363,539,968
  6. Step 6: Final answer
    x = 334,983,828,386.92

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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.