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Finding the Third Proportional to 2,287,648,752 and 3,428,399,664

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Solution

The third proportional to 2,287,648,752 and 3,428,399,664 is: 5,137,993,429.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287,648,752 : 3,428,399,664 = 3,428,399,664 : x
  2. Step 2: Convert to fraction form
    2,287,648,752/3,428,399,664 = 3,428,399,664/x
  3. Step 3: Cross multiply
    2,287,648,752x = 3,428,399,664 × 3,428,399,664
  4. Step 4: Simplify right side
    2,287,648,752x = 11,753,924,256,115,312,640
  5. Step 5: Solve for x
    x = 11,753,924,256,115,312,640/2,287,648,752
  6. Step 6: Final answer
    x = 5,137,993,429.21

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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.