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Finding the Third Proportional to 575,185,429 and 1,257,987,998

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Solution

The third proportional to 575,185,429 and 1,257,987,998 is: 2,751,345,432.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,185,429 : 1,257,987,998 = 1,257,987,998 : x
  2. Step 2: Convert to fraction form
    575,185,429/1,257,987,998 = 1,257,987,998/x
  3. Step 3: Cross multiply
    575,185,429x = 1,257,987,998 × 1,257,987,998
  4. Step 4: Simplify right side
    575,185,429x = 1,582,533,803,112,048,128
  5. Step 5: Solve for x
    x = 1,582,533,803,112,048,128/575,185,429
  6. Step 6: Final answer
    x = 2,751,345,432.83

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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.