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Finding the Third Proportional to 40,277,769 and 86,973,429

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Solution

The third proportional to 40,277,769 and 86,973,429 is: 187,805,271.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,277,769 : 86,973,429 = 86,973,429 : x
  2. Step 2: Convert to fraction form
    40,277,769/86,973,429 = 86,973,429/x
  3. Step 3: Cross multiply
    40,277,769x = 86,973,429 × 86,973,429
  4. Step 4: Simplify right side
    40,277,769x = 7,564,377,352,018,041
  5. Step 5: Solve for x
    x = 7,564,377,352,018,041/40,277,769
  6. Step 6: Final answer
    x = 187,805,271.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.