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Finding the Third Proportional to 305,681,004 and 645,864,408

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Solution

The third proportional to 305,681,004 and 645,864,408 is: 1,364,627,922.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,681,004 : 645,864,408 = 645,864,408 : x
  2. Step 2: Convert to fraction form
    305,681,004/645,864,408 = 645,864,408/x
  3. Step 3: Cross multiply
    305,681,004x = 645,864,408 × 645,864,408
  4. Step 4: Simplify right side
    305,681,004x = 417,140,833,521,190,464
  5. Step 5: Solve for x
    x = 417,140,833,521,190,464/305,681,004
  6. Step 6: Final answer
    x = 1,364,627,922.78

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.