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Finding the Third Proportional to 11,692,442,688 and 27,283,309,116

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Solution

The third proportional to 11,692,442,688 and 27,283,309,116 is: 63,663,254,649.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,692,442,688 : 27,283,309,116 = 27,283,309,116 : x
  2. Step 2: Convert to fraction form
    11,692,442,688/27,283,309,116 = 27,283,309,116/x
  3. Step 3: Cross multiply
    11,692,442,688x = 27,283,309,116 × 27,283,309,116
  4. Step 4: Simplify right side
    11,692,442,688x = 744,378,956,319,208,636,416
  5. Step 5: Solve for x
    x = 744,378,956,319,208,636,416/11,692,442,688
  6. Step 6: Final answer
    x = 63,663,254,649.36

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.