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Finding the Third Proportional to 10,362,898 and 16,254,297

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Solution

The third proportional to 10,362,898 and 16,254,297 is: 25,495,008.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,362,898 : 16,254,297 = 16,254,297 : x
  2. Step 2: Convert to fraction form
    10,362,898/16,254,297 = 16,254,297/x
  3. Step 3: Cross multiply
    10,362,898x = 16,254,297 × 16,254,297
  4. Step 4: Simplify right side
    10,362,898x = 264,202,170,964,209
  5. Step 5: Solve for x
    x = 264,202,170,964,209/10,362,898
  6. Step 6: Final answer
    x = 25,495,008.34

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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.