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Finding the Third Proportional to 1,688,102,656 and 2,549,793,947

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Solution

The third proportional to 1,688,102,656 and 2,549,793,947 is: 3,851,335,195.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688,102,656 : 2,549,793,947 = 2,549,793,947 : x
  2. Step 2: Convert to fraction form
    1,688,102,656/2,549,793,947 = 2,549,793,947/x
  3. Step 3: Cross multiply
    1,688,102,656x = 2,549,793,947 × 2,549,793,947
  4. Step 4: Simplify right side
    1,688,102,656x = 6,501,449,172,157,838,336
  5. Step 5: Solve for x
    x = 6,501,449,172,157,838,336/1,688,102,656
  6. Step 6: Final answer
    x = 3,851,335,195.20

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