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Finding the Third Proportional to 364,362,614 and 786,784,728

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Solution

The third proportional to 364,362,614 and 786,784,728 is: 1,698,939,969.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,362,614 : 786,784,728 = 786,784,728 : x
  2. Step 2: Convert to fraction form
    364,362,614/786,784,728 = 786,784,728/x
  3. Step 3: Cross multiply
    364,362,614x = 786,784,728 × 786,784,728
  4. Step 4: Simplify right side
    364,362,614x = 619,030,208,214,033,920
  5. Step 5: Solve for x
    x = 619,030,208,214,033,920/364,362,614
  6. Step 6: Final answer
    x = 1,698,939,969.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.