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Finding the Third Proportional to 410,652,476,814 and 603,677,357,953.50

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Solution

The third proportional to 410,652,476,814 and 603,677,357,953.50 is: 887,432,496,044.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,652,476,814 : 603,677,357,953.50 = 603,677,357,953.50 : x
  2. Step 2: Convert to fraction form
    410,652,476,814/603,677,357,953.50 = 603,677,357,953.50/x
  3. Step 3: Cross multiply
    410,652,476,814x = 603,677,357,953.50 × 603,677,357,953.50
  4. Step 4: Simplify right side
    410,652,476,814x = 364,426,352,505,718,157,869,056
  5. Step 5: Solve for x
    x = 364,426,352,505,718,157,869,056/410,652,476,814
  6. Step 6: Final answer
    x = 887,432,496,044.05

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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.