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Finding the Third Proportional to 282,631,075.50 and 426,633,653.25

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Solution

The third proportional to 282,631,075.50 and 426,633,653.25 is: 644,006,586.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,631,075.50 : 426,633,653.25 = 426,633,653.25 : x
  2. Step 2: Convert to fraction form
    282,631,075.50/426,633,653.25 = 426,633,653.25/x
  3. Step 3: Cross multiply
    282,631,075.50x = 426,633,653.25 × 426,633,653.25
  4. Step 4: Simplify right side
    282,631,075.50x = 182,016,274,085,441,248
  5. Step 5: Solve for x
    x = 182,016,274,085,441,248/282,631,075.50
  6. Step 6: Final answer
    x = 644,006,586.20

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