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Finding the Third Proportional to 1,132,865,932 and 1,749,609,654

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Solution

The third proportional to 1,132,865,932 and 1,749,609,654 is: 2,702,114,923.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132,865,932 : 1,749,609,654 = 1,749,609,654 : x
  2. Step 2: Convert to fraction form
    1,132,865,932/1,749,609,654 = 1,749,609,654/x
  3. Step 3: Cross multiply
    1,132,865,932x = 1,749,609,654 × 1,749,609,654
  4. Step 4: Simplify right side
    1,132,865,932x = 3,061,133,941,369,999,872
  5. Step 5: Solve for x
    x = 3,061,133,941,369,999,872/1,132,865,932
  6. Step 6: Final answer
    x = 2,702,114,923.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.