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Finding the Third Proportional to 462,526,880 and 1,001,265,264

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Solution

The third proportional to 462,526,880 and 1,001,265,264 is: 2,167,511,062.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,526,880 : 1,001,265,264 = 1,001,265,264 : x
  2. Step 2: Convert to fraction form
    462,526,880/1,001,265,264 = 1,001,265,264/x
  3. Step 3: Cross multiply
    462,526,880x = 1,001,265,264 × 1,001,265,264
  4. Step 4: Simplify right side
    462,526,880x = 1,002,532,128,892,989,696
  5. Step 5: Solve for x
    x = 1,002,532,128,892,989,696/462,526,880
  6. Step 6: Final answer
    x = 2,167,511,062.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.