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Finding the Third Proportional to 10,362,895 and 16,254,294

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Solution

The third proportional to 10,362,895 and 16,254,294 is: 25,495,006.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,362,895 : 16,254,294 = 16,254,294 : x
  2. Step 2: Convert to fraction form
    10,362,895/16,254,294 = 16,254,294/x
  3. Step 3: Cross multiply
    10,362,895x = 16,254,294 × 16,254,294
  4. Step 4: Simplify right side
    10,362,895x = 264,202,073,438,436
  5. Step 5: Solve for x
    x = 264,202,073,438,436/10,362,895
  6. Step 6: Final answer
    x = 25,495,006.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.