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Finding the Third Proportional to 285,224,315 and 625,128,004

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Solution

The third proportional to 285,224,315 and 625,128,004 is: 1,370,097,151.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,224,315 : 625,128,004 = 625,128,004 : x
  2. Step 2: Convert to fraction form
    285,224,315/625,128,004 = 625,128,004/x
  3. Step 3: Cross multiply
    285,224,315x = 625,128,004 × 625,128,004
  4. Step 4: Simplify right side
    285,224,315x = 390,785,021,385,024,000
  5. Step 5: Solve for x
    x = 390,785,021,385,024,000/285,224,315
  6. Step 6: Final answer
    x = 1,370,097,151.03

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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.