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Finding the Third Proportional to 34,065,670,004 and 74,553,233,668

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Solution

The third proportional to 34,065,670,004 and 74,553,233,668 is: 163,160,878,670.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,065,670,004 : 74,553,233,668 = 74,553,233,668 : x
  2. Step 2: Convert to fraction form
    34,065,670,004/74,553,233,668 = 74,553,233,668/x
  3. Step 3: Cross multiply
    34,065,670,004x = 74,553,233,668 × 74,553,233,668
  4. Step 4: Simplify right side
    34,065,670,004x = 5,558,184,650,355,408,633,856
  5. Step 5: Solve for x
    x = 5,558,184,650,355,408,633,856/34,065,670,004
  6. Step 6: Final answer
    x = 163,160,878,670.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.