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Finding the Third Proportional to 10,525,664 and 22,675,488

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Solution

The third proportional to 10,525,664 and 22,675,488 is: 48,849,911.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525,664 : 22,675,488 = 22,675,488 : x
  2. Step 2: Convert to fraction form
    10,525,664/22,675,488 = 22,675,488/x
  3. Step 3: Cross multiply
    10,525,664x = 22,675,488 × 22,675,488
  4. Step 4: Simplify right side
    10,525,664x = 514,177,756,038,144
  5. Step 5: Solve for x
    x = 514,177,756,038,144/10,525,664
  6. Step 6: Final answer
    x = 48,849,911.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.