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Finding the Third Proportional to 694,865,100 and 1,527,445,752

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Solution

The third proportional to 694,865,100 and 1,527,445,752 is: 3,357,616,500.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,865,100 : 1,527,445,752 = 1,527,445,752 : x
  2. Step 2: Convert to fraction form
    694,865,100/1,527,445,752 = 1,527,445,752/x
  3. Step 3: Cross multiply
    694,865,100x = 1,527,445,752 × 1,527,445,752
  4. Step 4: Simplify right side
    694,865,100x = 2,333,090,525,302,845,440
  5. Step 5: Solve for x
    x = 2,333,090,525,302,845,440/694,865,100
  6. Step 6: Final answer
    x = 3,357,616,500.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.