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Finding the Third Proportional to 10,210,224 and 15,807,664

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Solution

The third proportional to 10,210,224 and 15,807,664 is: 24,473,727.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,210,224 : 15,807,664 = 15,807,664 : x
  2. Step 2: Convert to fraction form
    10,210,224/15,807,664 = 15,807,664/x
  3. Step 3: Cross multiply
    10,210,224x = 15,807,664 × 15,807,664
  4. Step 4: Simplify right side
    10,210,224x = 249,882,241,136,896
  5. Step 5: Solve for x
    x = 249,882,241,136,896/10,210,224
  6. Step 6: Final answer
    x = 24,473,727.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.