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Finding the Third Proportional to 30,441,179,232 and 46,571,595,732

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Solution

The third proportional to 30,441,179,232 and 46,571,595,732 is: 71,249,326,857.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,441,179,232 : 46,571,595,732 = 46,571,595,732 : x
  2. Step 2: Convert to fraction form
    30,441,179,232/46,571,595,732 = 46,571,595,732/x
  3. Step 3: Cross multiply
    30,441,179,232x = 46,571,595,732 × 46,571,595,732
  4. Step 4: Simplify right side
    30,441,179,232x = 2,168,913,529,024,840,728,576
  5. Step 5: Solve for x
    x = 2,168,913,529,024,840,728,576/30,441,179,232
  6. Step 6: Final answer
    x = 71,249,326,857.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.