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Finding the Third Proportional to 410,652,476,812 and 603,677,357,952

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Solution

The third proportional to 410,652,476,812 and 603,677,357,952 is: 887,432,496,043.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,652,476,812 : 603,677,357,952 = 603,677,357,952 : x
  2. Step 2: Convert to fraction form
    410,652,476,812/603,677,357,952 = 603,677,357,952/x
  3. Step 3: Cross multiply
    410,652,476,812x = 603,677,357,952 × 603,677,357,952
  4. Step 4: Simplify right side
    410,652,476,812x = 364,426,352,503,907,158,065,152
  5. Step 5: Solve for x
    x = 364,426,352,503,907,158,065,152/410,652,476,812
  6. Step 6: Final answer
    x = 887,432,496,043.96

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.