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Finding the Third Proportional to 346,836,194 and 712,059,216

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Solution

The third proportional to 346,836,194 and 712,059,216 is: 1,461,866,828.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,836,194 : 712,059,216 = 712,059,216 : x
  2. Step 2: Convert to fraction form
    346,836,194/712,059,216 = 712,059,216/x
  3. Step 3: Cross multiply
    346,836,194x = 712,059,216 × 712,059,216
  4. Step 4: Simplify right side
    346,836,194x = 507,028,327,090,534,656
  5. Step 5: Solve for x
    x = 507,028,327,090,534,656/346,836,194
  6. Step 6: Final answer
    x = 1,461,866,828.96

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.