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Finding the Third Proportional to 260,765,748 and 552,620,752

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Solution

The third proportional to 260,765,748 and 552,620,752 is: 1,171,126,568.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,765,748 : 552,620,752 = 552,620,752 : x
  2. Step 2: Convert to fraction form
    260,765,748/552,620,752 = 552,620,752/x
  3. Step 3: Cross multiply
    260,765,748x = 552,620,752 × 552,620,752
  4. Step 4: Simplify right side
    260,765,748x = 305,389,695,541,045,504
  5. Step 5: Solve for x
    x = 305,389,695,541,045,504/260,765,748
  6. Step 6: Final answer
    x = 1,171,126,568.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.