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Finding the Third Proportional to 1,710,968,418 and 3,667,495,356

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Solution

The third proportional to 1,710,968,418 and 3,667,495,356 is: 7,861,350,358.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710,968,418 : 3,667,495,356 = 3,667,495,356 : x
  2. Step 2: Convert to fraction form
    1,710,968,418/3,667,495,356 = 3,667,495,356/x
  3. Step 3: Cross multiply
    1,710,968,418x = 3,667,495,356 × 3,667,495,356
  4. Step 4: Simplify right side
    1,710,968,418x = 13,450,522,186,281,566,208
  5. Step 5: Solve for x
    x = 13,450,522,186,281,566,208/1,710,968,418
  6. Step 6: Final answer
    x = 7,861,350,358.53

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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.