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Finding the Third Proportional to 37,850,786 and 56,713,209

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Solution

The third proportional to 37,850,786 and 56,713,209 is: 84,975,463.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,850,786 : 56,713,209 = 56,713,209 : x
  2. Step 2: Convert to fraction form
    37,850,786/56,713,209 = 56,713,209/x
  3. Step 3: Cross multiply
    37,850,786x = 56,713,209 × 56,713,209
  4. Step 4: Simplify right side
    37,850,786x = 3,216,388,075,077,681
  5. Step 5: Solve for x
    x = 3,216,388,075,077,681/37,850,786
  6. Step 6: Final answer
    x = 84,975,463.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.