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Finding the Third Proportional to 40,291,946 and 86,332,968

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Solution

The third proportional to 40,291,946 and 86,332,968 is: 184,984,397.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,291,946 : 86,332,968 = 86,332,968 : x
  2. Step 2: Convert to fraction form
    40,291,946/86,332,968 = 86,332,968/x
  3. Step 3: Cross multiply
    40,291,946x = 86,332,968 × 86,332,968
  4. Step 4: Simplify right side
    40,291,946x = 7,453,381,363,689,024
  5. Step 5: Solve for x
    x = 7,453,381,363,689,024/40,291,946
  6. Step 6: Final answer
    x = 184,984,397.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.