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Finding the Third Proportional to 29,832,770 and 46,026,534

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Solution

The third proportional to 29,832,770 and 46,026,534 is: 71,010,564.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,832,770 : 46,026,534 = 46,026,534 : x
  2. Step 2: Convert to fraction form
    29,832,770/46,026,534 = 46,026,534/x
  3. Step 3: Cross multiply
    29,832,770x = 46,026,534 × 46,026,534
  4. Step 4: Simplify right side
    29,832,770x = 2,118,441,832,053,156
  5. Step 5: Solve for x
    x = 2,118,441,832,053,156/29,832,770
  6. Step 6: Final answer
    x = 71,010,564.29

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.