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Finding the Third Proportional to 216,674,136 and 468,689,220

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Solution

The third proportional to 216,674,136 and 468,689,220 is: 1,013,824,672.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,674,136 : 468,689,220 = 468,689,220 : x
  2. Step 2: Convert to fraction form
    216,674,136/468,689,220 = 468,689,220/x
  3. Step 3: Cross multiply
    216,674,136x = 468,689,220 × 468,689,220
  4. Step 4: Simplify right side
    216,674,136x = 219,669,584,944,208,384
  5. Step 5: Solve for x
    x = 219,669,584,944,208,384/216,674,136
  6. Step 6: Final answer
    x = 1,013,824,672.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.