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Finding the Third Proportional to 233,307,648 and 510,553,152

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Solution

The third proportional to 233,307,648 and 510,553,152 is: 1,117,256,649.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,307,648 : 510,553,152 = 510,553,152 : x
  2. Step 2: Convert to fraction form
    233,307,648/510,553,152 = 510,553,152/x
  3. Step 3: Cross multiply
    233,307,648x = 510,553,152 × 510,553,152
  4. Step 4: Simplify right side
    233,307,648x = 260,664,521,017,135,104
  5. Step 5: Solve for x
    x = 260,664,521,017,135,104/233,307,648
  6. Step 6: Final answer
    x = 1,117,256,649.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.