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Finding the Third Proportional to 4,563,688.50 and 6,831,312.75

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Solution

The third proportional to 4,563,688.50 and 6,831,312.75 is: 10,225,683.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563,688.50 : 6,831,312.75 = 6,831,312.75 : x
  2. Step 2: Convert to fraction form
    4,563,688.50/6,831,312.75 = 6,831,312.75/x
  3. Step 3: Cross multiply
    4,563,688.50x = 6,831,312.75 × 6,831,312.75
  4. Step 4: Simplify right side
    4,563,688.50x = 46,666,833,888,312.56
  5. Step 5: Solve for x
    x = 46,666,833,888,312.56/4,563,688.50
  6. Step 6: Final answer
    x = 10,225,683.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.