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Finding the Third Proportional to 26,546,009,720 and 56,878,445,214

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Solution

The third proportional to 26,546,009,720 and 56,878,445,214 is: 121,869,823,905.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,546,009,720 : 56,878,445,214 = 56,878,445,214 : x
  2. Step 2: Convert to fraction form
    26,546,009,720/56,878,445,214 = 56,878,445,214/x
  3. Step 3: Cross multiply
    26,546,009,720x = 56,878,445,214 × 56,878,445,214
  4. Step 4: Simplify right side
    26,546,009,720x = 3,235,157,529,961,999,368,192
  5. Step 5: Solve for x
    x = 3,235,157,529,961,999,368,192/26,546,009,720
  6. Step 6: Final answer
    x = 121,869,823,905.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.