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Finding the Third Proportional to 184,369,447 and 402,516,768

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Solution

The third proportional to 184,369,447 and 402,516,768 is: 878,777,645.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,369,447 : 402,516,768 = 402,516,768 : x
  2. Step 2: Convert to fraction form
    184,369,447/402,516,768 = 402,516,768/x
  3. Step 3: Cross multiply
    184,369,447x = 402,516,768 × 402,516,768
  4. Step 4: Simplify right side
    184,369,447x = 162,019,748,521,165,824
  5. Step 5: Solve for x
    x = 162,019,748,521,165,824/184,369,447
  6. Step 6: Final answer
    x = 878,777,645.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.