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Finding the Third Proportional to 410,652,476,816 and 603,677,357,956

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Solution

The third proportional to 410,652,476,816 and 603,677,357,956 is: 887,432,496,047.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,652,476,816 : 603,677,357,956 = 603,677,357,956 : x
  2. Step 2: Convert to fraction form
    410,652,476,816/603,677,357,956 = 603,677,357,956/x
  3. Step 3: Cross multiply
    410,652,476,816x = 603,677,357,956 × 603,677,357,956
  4. Step 4: Simplify right side
    410,652,476,816x = 364,426,352,508,736,580,354,048
  5. Step 5: Solve for x
    x = 364,426,352,508,736,580,354,048/410,652,476,816
  6. Step 6: Final answer
    x = 887,432,496,047.08

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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.