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Finding the Third Proportional to 384,552,479,385 and 565,309,203,907.50

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Solution

The third proportional to 384,552,479,385 and 565,309,203,907.50 is: 831,029,607,541.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,552,479,385 : 565,309,203,907.50 = 565,309,203,907.50 : x
  2. Step 2: Convert to fraction form
    384,552,479,385/565,309,203,907.50 = 565,309,203,907.50/x
  3. Step 3: Cross multiply
    384,552,479,385x = 565,309,203,907.50 × 565,309,203,907.50
  4. Step 4: Simplify right side
    384,552,479,385x = 319,574,496,022,531,395,289,088
  5. Step 5: Solve for x
    x = 319,574,496,022,531,395,289,088/384,552,479,385
  6. Step 6: Final answer
    x = 831,029,607,541.77

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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.