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Finding the Third Proportional to 1,688,102,660 and 2,549,793,953

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Solution

The third proportional to 1,688,102,660 and 2,549,793,953 is: 3,851,335,204.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688,102,660 : 2,549,793,953 = 2,549,793,953 : x
  2. Step 2: Convert to fraction form
    1,688,102,660/2,549,793,953 = 2,549,793,953/x
  3. Step 3: Cross multiply
    1,688,102,660x = 2,549,793,953 × 2,549,793,953
  4. Step 4: Simplify right side
    1,688,102,660x = 6,501,449,202,755,365,888
  5. Step 5: Solve for x
    x = 6,501,449,202,755,365,888/1,688,102,660
  6. Step 6: Final answer
    x = 3,851,335,204.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.