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Finding the Third Proportional to 410,652,476,820 and 603,677,357,962

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Solution

The third proportional to 410,652,476,820 and 603,677,357,962 is: 887,432,496,056.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,652,476,820 : 603,677,357,962 = 603,677,357,962 : x
  2. Step 2: Convert to fraction form
    410,652,476,820/603,677,357,962 = 603,677,357,962/x
  3. Step 3: Cross multiply
    410,652,476,820x = 603,677,357,962 × 603,677,357,962
  4. Step 4: Simplify right side
    410,652,476,820x = 364,426,352,515,980,713,787,392
  5. Step 5: Solve for x
    x = 364,426,352,515,980,713,787,392/410,652,476,820
  6. Step 6: Final answer
    x = 887,432,496,056.07

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Why These Related Problems?

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