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Finding the Third Proportional to 1,658,751,752 and 3,563,670,446

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Solution

The third proportional to 1,658,751,752 and 3,563,670,446 is: 7,656,207,164.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658,751,752 : 3,563,670,446 = 3,563,670,446 : x
  2. Step 2: Convert to fraction form
    1,658,751,752/3,563,670,446 = 3,563,670,446/x
  3. Step 3: Cross multiply
    1,658,751,752x = 3,563,670,446 × 3,563,670,446
  4. Step 4: Simplify right side
    1,658,751,752x = 12,699,747,047,693,838,336
  5. Step 5: Solve for x
    x = 12,699,747,047,693,838,336/1,658,751,752
  6. Step 6: Final answer
    x = 7,656,207,164.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.