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Finding the Third Proportional to 1,688,102,658 and 2,549,793,950

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Solution

The third proportional to 1,688,102,658 and 2,549,793,950 is: 3,851,335,199.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688,102,658 : 2,549,793,950 = 2,549,793,950 : x
  2. Step 2: Convert to fraction form
    1,688,102,658/2,549,793,950 = 2,549,793,950/x
  3. Step 3: Cross multiply
    1,688,102,658x = 2,549,793,950 × 2,549,793,950
  4. Step 4: Simplify right side
    1,688,102,658x = 6,501,449,187,456,602,112
  5. Step 5: Solve for x
    x = 6,501,449,187,456,602,112/1,688,102,658
  6. Step 6: Final answer
    x = 3,851,335,199.70

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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.