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Finding the Third Proportional to 186,430,746 and 280,424,472

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Solution

The third proportional to 186,430,746 and 280,424,472 is: 421,807,487.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,430,746 : 280,424,472 = 280,424,472 : x
  2. Step 2: Convert to fraction form
    186,430,746/280,424,472 = 280,424,472/x
  3. Step 3: Cross multiply
    186,430,746x = 280,424,472 × 280,424,472
  4. Step 4: Simplify right side
    186,430,746x = 78,637,884,496,478,784
  5. Step 5: Solve for x
    x = 78,637,884,496,478,784/186,430,746
  6. Step 6: Final answer
    x = 421,807,487.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.