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Finding the Third Proportional to 4,354,385.34 and 6,916,490.02

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Solution

The third proportional to 4,354,385.34 and 6,916,490.02 is: 10,986,127.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,354,385.34 : 6,916,490.02 = 6,916,490.02 : x
  2. Step 2: Convert to fraction form
    4,354,385.34/6,916,490.02 = 6,916,490.02/x
  3. Step 3: Cross multiply
    4,354,385.34x = 6,916,490.02 × 6,916,490.02
  4. Step 4: Simplify right side
    4,354,385.34x = 47,837,834,136,240.31
  5. Step 5: Solve for x
    x = 47,837,834,136,240.31/4,354,385.34
  6. Step 6: Final answer
    x = 10,986,127.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.