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Finding the Third Proportional to 452,868,962 and 987,720,088

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Solution

The third proportional to 452,868,962 and 987,720,088 is: 2,154,245,607.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,868,962 : 987,720,088 = 987,720,088 : x
  2. Step 2: Convert to fraction form
    452,868,962/987,720,088 = 987,720,088/x
  3. Step 3: Cross multiply
    452,868,962x = 987,720,088 × 987,720,088
  4. Step 4: Simplify right side
    452,868,962x = 975,590,972,238,727,680
  5. Step 5: Solve for x
    x = 975,590,972,238,727,680/452,868,962
  6. Step 6: Final answer
    x = 2,154,245,607.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.