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Finding the Third Proportional to 718,546,644,334 and 1,546,074,155,676

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Solution

The third proportional to 718,546,644,334 and 1,546,074,155,676 is: 3,326,639,006,246.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,546,644,334 : 1,546,074,155,676 = 1,546,074,155,676 : x
  2. Step 2: Convert to fraction form
    718,546,644,334/1,546,074,155,676 = 1,546,074,155,676/x
  3. Step 3: Cross multiply
    718,546,644,334x = 1,546,074,155,676 × 1,546,074,155,676
  4. Step 4: Simplify right side
    718,546,644,334x = 2,390,345,294,849,256,307,294,208
  5. Step 5: Solve for x
    x = 2,390,345,294,849,256,307,294,208/718,546,644,334
  6. Step 6: Final answer
    x = 3,326,639,006,246.84

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.