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Finding the Third Proportional to 27,213,462,980 and 42,596,502,174

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Solution

The third proportional to 27,213,462,980 and 42,596,502,174 is: 66,675,159,967.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,213,462,980 : 42,596,502,174 = 42,596,502,174 : x
  2. Step 2: Convert to fraction form
    27,213,462,980/42,596,502,174 = 42,596,502,174/x
  3. Step 3: Cross multiply
    27,213,462,980x = 42,596,502,174 × 42,596,502,174
  4. Step 4: Simplify right side
    27,213,462,980x = 1,814,461,997,459,586,678,784
  5. Step 5: Solve for x
    x = 1,814,461,997,459,586,678,784/27,213,462,980
  6. Step 6: Final answer
    x = 66,675,159,967.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.