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Finding the Third Proportional to 29,442,699 and 44,693,869.50

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Solution

The third proportional to 29,442,699 and 44,693,869.50 is: 67,845,069.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,442,699 : 44,693,869.50 = 44,693,869.50 : x
  2. Step 2: Convert to fraction form
    29,442,699/44,693,869.50 = 44,693,869.50/x
  3. Step 3: Cross multiply
    29,442,699x = 44,693,869.50 × 44,693,869.50
  4. Step 4: Simplify right side
    29,442,699x = 1,997,541,970,883,030.25
  5. Step 5: Solve for x
    x = 1,997,541,970,883,030.25/29,442,699
  6. Step 6: Final answer
    x = 67,845,069.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.