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Finding the Third Proportional to 4,702,930.56 and 6,872,931.63

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Solution

The third proportional to 4,702,930.56 and 6,872,931.63 is: 10,044,203.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702,930.56 : 6,872,931.63 = 6,872,931.63 : x
  2. Step 2: Convert to fraction form
    4,702,930.56/6,872,931.63 = 6,872,931.63/x
  3. Step 3: Cross multiply
    4,702,930.56x = 6,872,931.63 × 6,872,931.63
  4. Step 4: Simplify right side
    4,702,930.56x = 47,237,189,229,321.57
  5. Step 5: Solve for x
    x = 47,237,189,229,321.57/4,702,930.56
  6. Step 6: Final answer
    x = 10,044,203.00

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.