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Finding the Third Proportional to 326,876,664,080 and 460,113,788,262

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Solution

The third proportional to 326,876,664,080 and 460,113,788,262 is: 647,659,259,325.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,876,664,080 : 460,113,788,262 = 460,113,788,262 : x
  2. Step 2: Convert to fraction form
    326,876,664,080/460,113,788,262 = 460,113,788,262/x
  3. Step 3: Cross multiply
    326,876,664,080x = 460,113,788,262 × 460,113,788,262
  4. Step 4: Simplify right side
    326,876,664,080x = 211,704,698,148,808,569,126,912
  5. Step 5: Solve for x
    x = 211,704,698,148,808,569,126,912/326,876,664,080
  6. Step 6: Final answer
    x = 647,659,259,325.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.