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Finding the Third Proportional to 147,117,733 and 317,638,714

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Solution

The third proportional to 147,117,733 and 317,638,714 is: 685,806,874.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,117,733 : 317,638,714 = 317,638,714 : x
  2. Step 2: Convert to fraction form
    147,117,733/317,638,714 = 317,638,714/x
  3. Step 3: Cross multiply
    147,117,733x = 317,638,714 × 317,638,714
  4. Step 4: Simplify right side
    147,117,733x = 100,894,352,631,573,792
  5. Step 5: Solve for x
    x = 100,894,352,631,573,792/147,117,733
  6. Step 6: Final answer
    x = 685,806,874.36

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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.