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Finding the Third Proportional to 30,646,605.75 and 45,704,147.25

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Solution

The third proportional to 30,646,605.75 and 45,704,147.25 is: 68,159,883.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,646,605.75 : 45,704,147.25 = 45,704,147.25 : x
  2. Step 2: Convert to fraction form
    30,646,605.75/45,704,147.25 = 45,704,147.25/x
  3. Step 3: Cross multiply
    30,646,605.75x = 45,704,147.25 × 45,704,147.25
  4. Step 4: Simplify right side
    30,646,605.75x = 2,088,869,075,849,682.50
  5. Step 5: Solve for x
    x = 2,088,869,075,849,682.50/30,646,605.75
  6. Step 6: Final answer
    x = 68,159,883.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.