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Finding the Third Proportional to 356,181,722.72 and 537,075,566.30

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Solution

The third proportional to 356,181,722.72 and 537,075,566.30 is: 809,839,880.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,181,722.72 : 537,075,566.30 = 537,075,566.30 : x
  2. Step 2: Convert to fraction form
    356,181,722.72/537,075,566.30 = 537,075,566.30/x
  3. Step 3: Cross multiply
    356,181,722.72x = 537,075,566.30 × 537,075,566.30
  4. Step 4: Simplify right side
    356,181,722.72x = 288,450,163,913,114,368
  5. Step 5: Solve for x
    x = 288,450,163,913,114,368/356,181,722.72
  6. Step 6: Final answer
    x = 809,839,880.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.