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Finding the Third Proportional to 285,224,319 and 625,128,012

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Solution

The third proportional to 285,224,319 and 625,128,012 is: 1,370,097,166.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,224,319 : 625,128,012 = 625,128,012 : x
  2. Step 2: Convert to fraction form
    285,224,319/625,128,012 = 625,128,012/x
  3. Step 3: Cross multiply
    285,224,319x = 625,128,012 × 625,128,012
  4. Step 4: Simplify right side
    285,224,319x = 390,785,031,387,072,128
  5. Step 5: Solve for x
    x = 390,785,031,387,072,128/285,224,319
  6. Step 6: Final answer
    x = 1,370,097,166.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.