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Finding the Third Proportional to 309,458,826 and 462,962,854.13

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Solution

The third proportional to 309,458,826 and 462,962,854.13 is: 692,611,056.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,458,826 : 462,962,854.13 = 462,962,854.13 : x
  2. Step 2: Convert to fraction form
    309,458,826/462,962,854.13 = 462,962,854.13/x
  3. Step 3: Cross multiply
    309,458,826x = 462,962,854.13 × 462,962,854.13
  4. Step 4: Simplify right side
    309,458,826x = 214,334,604,299,566,016
  5. Step 5: Solve for x
    x = 214,334,604,299,566,016/309,458,826
  6. Step 6: Final answer
    x = 692,611,056.11

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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.