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Finding the Third Proportional to 6,281,762,682 and 9,301,355,865

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Solution

The third proportional to 6,281,762,682 and 9,301,355,865 is: 13,772,443,390.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281,762,682 : 9,301,355,865 = 9,301,355,865 : x
  2. Step 2: Convert to fraction form
    6,281,762,682/9,301,355,865 = 9,301,355,865/x
  3. Step 3: Cross multiply
    6,281,762,682x = 9,301,355,865 × 9,301,355,865
  4. Step 4: Simplify right side
    6,281,762,682x = 86,515,220,927,369,904,128
  5. Step 5: Solve for x
    x = 86,515,220,927,369,904,128/6,281,762,682
  6. Step 6: Final answer
    x = 13,772,443,390.02

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