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Finding the Third Proportional to 21,860,507,838 and 33,586,254,226

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Solution

The third proportional to 21,860,507,838 and 33,586,254,226 is: 51,601,567,598.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,860,507,838 : 33,586,254,226 = 33,586,254,226 : x
  2. Step 2: Convert to fraction form
    21,860,507,838/33,586,254,226 = 33,586,254,226/x
  3. Step 3: Cross multiply
    21,860,507,838x = 33,586,254,226 × 33,586,254,226
  4. Step 4: Simplify right side
    21,860,507,838x = 1,128,036,472,933,502,812,160
  5. Step 5: Solve for x
    x = 1,128,036,472,933,502,812,160/21,860,507,838
  6. Step 6: Final answer
    x = 51,601,567,598.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.