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Finding the Third Proportional to 364,321,318 and 780,710,732

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Solution

The third proportional to 364,321,318 and 780,710,732 is: 1,672,999,127.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,321,318 : 780,710,732 = 780,710,732 : x
  2. Step 2: Convert to fraction form
    364,321,318/780,710,732 = 780,710,732/x
  3. Step 3: Cross multiply
    364,321,318x = 780,710,732 × 780,710,732
  4. Step 4: Simplify right side
    364,321,318x = 609,509,247,059,975,808
  5. Step 5: Solve for x
    x = 609,509,247,059,975,808/364,321,318
  6. Step 6: Final answer
    x = 1,672,999,127.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.