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Finding the Third Proportional to 7,610,294,808 and 11,642,898,933

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Solution

The third proportional to 7,610,294,808 and 11,642,898,933 is: 17,812,331,714.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,610,294,808 : 11,642,898,933 = 11,642,898,933 : x
  2. Step 2: Convert to fraction form
    7,610,294,808/11,642,898,933 = 11,642,898,933/x
  3. Step 3: Cross multiply
    7,610,294,808x = 11,642,898,933 × 11,642,898,933
  4. Step 4: Simplify right side
    7,610,294,808x = 135,557,095,564,052,545,536
  5. Step 5: Solve for x
    x = 135,557,095,564,052,545,536/7,610,294,808
  6. Step 6: Final answer
    x = 17,812,331,714.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.