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Finding the Third Proportional to 5,173,336 and 7,831,574.50

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Solution

The third proportional to 5,173,336 and 7,831,574.50 is: 11,855,707.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,173,336 : 7,831,574.50 = 7,831,574.50 : x
  2. Step 2: Convert to fraction form
    5,173,336/7,831,574.50 = 7,831,574.50/x
  3. Step 3: Cross multiply
    5,173,336x = 7,831,574.50 × 7,831,574.50
  4. Step 4: Simplify right side
    5,173,336x = 61,333,559,149,050.25
  5. Step 5: Solve for x
    x = 61,333,559,149,050.25/5,173,336
  6. Step 6: Final answer
    x = 11,855,707.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.