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Finding the Third Proportional to 233,575,752 and 551,377,584

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Solution

The third proportional to 233,575,752 and 551,377,584 is: 1,301,578,770.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,575,752 : 551,377,584 = 551,377,584 : x
  2. Step 2: Convert to fraction form
    233,575,752/551,377,584 = 551,377,584/x
  3. Step 3: Cross multiply
    233,575,752x = 551,377,584 × 551,377,584
  4. Step 4: Simplify right side
    233,575,752x = 304,017,240,137,677,056
  5. Step 5: Solve for x
    x = 304,017,240,137,677,056/233,575,752
  6. Step 6: Final answer
    x = 1,301,578,770.63

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.