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Finding the Third Proportional to 32,116,282 and 45,782,943

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Solution

The third proportional to 32,116,282 and 45,782,943 is: 65,265,271.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,116,282 : 45,782,943 = 45,782,943 : x
  2. Step 2: Convert to fraction form
    32,116,282/45,782,943 = 45,782,943/x
  3. Step 3: Cross multiply
    32,116,282x = 45,782,943 × 45,782,943
  4. Step 4: Simplify right side
    32,116,282x = 2,096,077,869,741,249
  5. Step 5: Solve for x
    x = 2,096,077,869,741,249/32,116,282
  6. Step 6: Final answer
    x = 65,265,271.67

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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.