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Finding the Third Proportional to 30,665,142 and 65,585,106

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Solution

The third proportional to 30,665,142 and 65,585,106 is: 140,270,217.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,665,142 : 65,585,106 = 65,585,106 : x
  2. Step 2: Convert to fraction form
    30,665,142/65,585,106 = 65,585,106/x
  3. Step 3: Cross multiply
    30,665,142x = 65,585,106 × 65,585,106
  4. Step 4: Simplify right side
    30,665,142x = 4,301,406,129,031,236
  5. Step 5: Solve for x
    x = 4,301,406,129,031,236/30,665,142
  6. Step 6: Final answer
    x = 140,270,217.21

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