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Finding the Third Proportional to 1,248,525,777 and 2,600,341,377

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Solution

The third proportional to 1,248,525,777 and 2,600,341,377 is: 5,415,807,507.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248,525,777 : 2,600,341,377 = 2,600,341,377 : x
  2. Step 2: Convert to fraction form
    1,248,525,777/2,600,341,377 = 2,600,341,377/x
  3. Step 3: Cross multiply
    1,248,525,777x = 2,600,341,377 × 2,600,341,377
  4. Step 4: Simplify right side
    1,248,525,777x = 6,761,775,276,938,256,384
  5. Step 5: Solve for x
    x = 6,761,775,276,938,256,384/1,248,525,777
  6. Step 6: Final answer
    x = 5,415,807,507.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.