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Finding the Third Proportional to 6,309,714,964.50 and 13,666,484,916

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Solution

The third proportional to 6,309,714,964.50 and 13,666,484,916 is: 29,600,831,576.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309,714,964.50 : 13,666,484,916 = 13,666,484,916 : x
  2. Step 2: Convert to fraction form
    6,309,714,964.50/13,666,484,916 = 13,666,484,916/x
  3. Step 3: Cross multiply
    6,309,714,964.50x = 13,666,484,916 × 13,666,484,916
  4. Step 4: Simplify right side
    6,309,714,964.50x = 186,772,809,959,255,539,712
  5. Step 5: Solve for x
    x = 186,772,809,959,255,539,712/6,309,714,964.50
  6. Step 6: Final answer
    x = 29,600,831,576.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.