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Finding the Third Proportional to 29,461,842 and 69,449,755.50

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Solution

The third proportional to 29,461,842 and 69,449,755.50 is: 163,712,389.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,461,842 : 69,449,755.50 = 69,449,755.50 : x
  2. Step 2: Convert to fraction form
    29,461,842/69,449,755.50 = 69,449,755.50/x
  3. Step 3: Cross multiply
    29,461,842x = 69,449,755.50 × 69,449,755.50
  4. Step 4: Simplify right side
    29,461,842x = 4,823,268,539,009,780
  5. Step 5: Solve for x
    x = 4,823,268,539,009,780/29,461,842
  6. Step 6: Final answer
    x = 163,712,389.03

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.