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Finding the Third Proportional to 21,314,104.50 and 46,212,637.50

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Solution

The third proportional to 21,314,104.50 and 46,212,637.50 is: 100,196,931.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,314,104.50 : 46,212,637.50 = 46,212,637.50 : x
  2. Step 2: Convert to fraction form
    21,314,104.50/46,212,637.50 = 46,212,637.50/x
  3. Step 3: Cross multiply
    21,314,104.50x = 46,212,637.50 × 46,212,637.50
  4. Step 4: Simplify right side
    21,314,104.50x = 2,135,607,864,706,406.25
  5. Step 5: Solve for x
    x = 2,135,607,864,706,406.25/21,314,104.50
  6. Step 6: Final answer
    x = 100,196,931.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.