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Finding the Third Proportional to 26,546,042,232 and 56,878,510,556

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Solution

The third proportional to 26,546,042,232 and 56,878,510,556 is: 121,869,954,654.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,546,042,232 : 56,878,510,556 = 56,878,510,556 : x
  2. Step 2: Convert to fraction form
    26,546,042,232/56,878,510,556 = 56,878,510,556/x
  3. Step 3: Cross multiply
    26,546,042,232x = 56,878,510,556 × 56,878,510,556
  4. Step 4: Simplify right side
    26,546,042,232x = 3,235,164,963,069,003,563,008
  5. Step 5: Solve for x
    x = 3,235,164,963,069,003,563,008/26,546,042,232
  6. Step 6: Final answer
    x = 121,869,954,654.45

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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.