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Finding the Third Proportional to 29,754,325.69 and 45,958,006.13

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Solution

The third proportional to 29,754,325.69 and 45,958,006.13 is: 70,985,924.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,754,325.69 : 45,958,006.13 = 45,958,006.13 : x
  2. Step 2: Convert to fraction form
    29,754,325.69/45,958,006.13 = 45,958,006.13/x
  3. Step 3: Cross multiply
    29,754,325.69x = 45,958,006.13 × 45,958,006.13
  4. Step 4: Simplify right side
    29,754,325.69x = 2,112,138,326,985,537.50
  5. Step 5: Solve for x
    x = 2,112,138,326,985,537.50/29,754,325.69
  6. Step 6: Final answer
    x = 70,985,924.84

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Why These Related Problems?

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