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Finding the Third Proportional to 6,281,762,676 and 9,301,355,856

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Solution

The third proportional to 6,281,762,676 and 9,301,355,856 is: 13,772,443,376.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281,762,676 : 9,301,355,856 = 9,301,355,856 : x
  2. Step 2: Convert to fraction form
    6,281,762,676/9,301,355,856 = 9,301,355,856/x
  3. Step 3: Cross multiply
    6,281,762,676x = 9,301,355,856 × 9,301,355,856
  4. Step 4: Simplify right side
    6,281,762,676x = 86,515,220,759,945,494,528
  5. Step 5: Solve for x
    x = 86,515,220,759,945,494,528/6,281,762,676
  6. Step 6: Final answer
    x = 13,772,443,376.52

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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.