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Finding the Third Proportional to 20,282,776 and 47,831,603.50

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Solution

The third proportional to 20,282,776 and 47,831,603.50 is: 112,798,282.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,282,776 : 47,831,603.50 = 47,831,603.50 : x
  2. Step 2: Convert to fraction form
    20,282,776/47,831,603.50 = 47,831,603.50/x
  3. Step 3: Cross multiply
    20,282,776x = 47,831,603.50 × 47,831,603.50
  4. Step 4: Simplify right side
    20,282,776x = 2,287,862,293,381,212
  5. Step 5: Solve for x
    x = 2,287,862,293,381,212/20,282,776
  6. Step 6: Final answer
    x = 112,798,282.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.