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Finding the Third Proportional to 21,203,005.50 and 46,571,395.50

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Solution

The third proportional to 21,203,005.50 and 46,571,395.50 is: 102,291,860.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,203,005.50 : 46,571,395.50 = 46,571,395.50 : x
  2. Step 2: Convert to fraction form
    21,203,005.50/46,571,395.50 = 46,571,395.50/x
  3. Step 3: Cross multiply
    21,203,005.50x = 46,571,395.50 × 46,571,395.50
  4. Step 4: Simplify right side
    21,203,005.50x = 2,168,894,878,817,420.25
  5. Step 5: Solve for x
    x = 2,168,894,878,817,420.25/21,203,005.50
  6. Step 6: Final answer
    x = 102,291,860.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.