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Finding the Third Proportional to 35,706,645 and 50,282,824.50

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Solution

The third proportional to 35,706,645 and 50,282,824.50 is: 70,809,297.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,706,645 : 50,282,824.50 = 50,282,824.50 : x
  2. Step 2: Convert to fraction form
    35,706,645/50,282,824.50 = 50,282,824.50/x
  3. Step 3: Cross multiply
    35,706,645x = 50,282,824.50 × 50,282,824.50
  4. Step 4: Simplify right side
    35,706,645x = 2,528,362,439,697,800
  5. Step 5: Solve for x
    x = 2,528,362,439,697,800/35,706,645
  6. Step 6: Final answer
    x = 70,809,297.25

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.