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Finding the Third Proportional to 31,947,368 and 45,685,109

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Solution

The third proportional to 31,947,368 and 45,685,109 is: 65,330,238.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,947,368 : 45,685,109 = 45,685,109 : x
  2. Step 2: Convert to fraction form
    31,947,368/45,685,109 = 45,685,109/x
  3. Step 3: Cross multiply
    31,947,368x = 45,685,109 × 45,685,109
  4. Step 4: Simplify right side
    31,947,368x = 2,087,129,184,341,881
  5. Step 5: Solve for x
    x = 2,087,129,184,341,881/31,947,368
  6. Step 6: Final answer
    x = 65,330,238.92

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.