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Finding the Third Proportional to 1,582,662,734 and 3,370,018,826

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Solution

The third proportional to 1,582,662,734 and 3,370,018,826 is: 7,175,898,341.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582,662,734 : 3,370,018,826 = 3,370,018,826 : x
  2. Step 2: Convert to fraction form
    1,582,662,734/3,370,018,826 = 3,370,018,826/x
  3. Step 3: Cross multiply
    1,582,662,734x = 3,370,018,826 × 3,370,018,826
  4. Step 4: Simplify right side
    1,582,662,734x = 11,357,026,887,594,418,176
  5. Step 5: Solve for x
    x = 11,357,026,887,594,418,176/1,582,662,734
  6. Step 6: Final answer
    x = 7,175,898,341.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.