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Finding the Third Proportional to 13,294,528 and 21,706,624

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Solution

The third proportional to 13,294,528 and 21,706,624 is: 35,441,463.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,294,528 : 21,706,624 = 21,706,624 : x
  2. Step 2: Convert to fraction form
    13,294,528/21,706,624 = 21,706,624/x
  3. Step 3: Cross multiply
    13,294,528x = 21,706,624 × 21,706,624
  4. Step 4: Simplify right side
    13,294,528x = 471,177,525,477,376
  5. Step 5: Solve for x
    x = 471,177,525,477,376/13,294,528
  6. Step 6: Final answer
    x = 35,441,463.25

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.