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Finding the Third Proportional to 1,582,662,735 and 3,370,018,828

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Solution

The third proportional to 1,582,662,735 and 3,370,018,828 is: 7,175,898,345.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582,662,735 : 3,370,018,828 = 3,370,018,828 : x
  2. Step 2: Convert to fraction form
    1,582,662,735/3,370,018,828 = 3,370,018,828/x
  3. Step 3: Cross multiply
    1,582,662,735x = 3,370,018,828 × 3,370,018,828
  4. Step 4: Simplify right side
    1,582,662,735x = 11,357,026,901,074,493,440
  5. Step 5: Solve for x
    x = 11,357,026,901,074,493,440/1,582,662,735
  6. Step 6: Final answer
    x = 7,175,898,345.19

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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.