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Finding the Third Proportional to 346,249,668 and 517,646,269

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Solution

The third proportional to 346,249,668 and 517,646,269 is: 773,885,680.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,249,668 : 517,646,269 = 517,646,269 : x
  2. Step 2: Convert to fraction form
    346,249,668/517,646,269 = 517,646,269/x
  3. Step 3: Cross multiply
    346,249,668x = 517,646,269 × 517,646,269
  4. Step 4: Simplify right side
    346,249,668x = 267,957,659,809,620,352
  5. Step 5: Solve for x
    x = 267,957,659,809,620,352/346,249,668
  6. Step 6: Final answer
    x = 773,885,680.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.