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Finding the Third Proportional to 699,528,403.76 and 1,495,911,912.68

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Solution

The third proportional to 699,528,403.76 and 1,495,911,912.68 is: 3,198,944,372.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,528,403.76 : 1,495,911,912.68 = 1,495,911,912.68 : x
  2. Step 2: Convert to fraction form
    699,528,403.76/1,495,911,912.68 = 1,495,911,912.68/x
  3. Step 3: Cross multiply
    699,528,403.76x = 1,495,911,912.68 × 1,495,911,912.68
  4. Step 4: Simplify right side
    699,528,403.76x = 2,237,752,450,497,038,080
  5. Step 5: Solve for x
    x = 2,237,752,450,497,038,080/699,528,403.76
  6. Step 6: Final answer
    x = 3,198,944,372.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.