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Finding the Third Proportional to 29,567,678,088 and 45,096,243,372

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Solution

The third proportional to 29,567,678,088 and 45,096,243,372 is: 68,780,211,967.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,567,678,088 : 45,096,243,372 = 45,096,243,372 : x
  2. Step 2: Convert to fraction form
    29,567,678,088/45,096,243,372 = 45,096,243,372/x
  3. Step 3: Cross multiply
    29,567,678,088x = 45,096,243,372 × 45,096,243,372
  4. Step 4: Simplify right side
    29,567,678,088x = 2,033,671,166,266,653,802,496
  5. Step 5: Solve for x
    x = 2,033,671,166,266,653,802,496/29,567,678,088
  6. Step 6: Final answer
    x = 68,780,211,967.07

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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.