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Finding the Third Proportional to 6,281,762,684 and 9,301,355,868

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Solution

The third proportional to 6,281,762,684 and 9,301,355,868 is: 13,772,443,394.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281,762,684 : 9,301,355,868 = 9,301,355,868 : x
  2. Step 2: Convert to fraction form
    6,281,762,684/9,301,355,868 = 9,301,355,868/x
  3. Step 3: Cross multiply
    6,281,762,684x = 9,301,355,868 × 9,301,355,868
  4. Step 4: Simplify right side
    6,281,762,684x = 86,515,220,983,178,035,200
  5. Step 5: Solve for x
    x = 86,515,220,983,178,035,200/6,281,762,684
  6. Step 6: Final answer
    x = 13,772,443,394.52

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.