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Finding the Third Proportional to 734,444,352 and 1,613,172,690

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Solution

The third proportional to 734,444,352 and 1,613,172,690 is: 3,543,258,411.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,444,352 : 1,613,172,690 = 1,613,172,690 : x
  2. Step 2: Convert to fraction form
    734,444,352/1,613,172,690 = 1,613,172,690/x
  3. Step 3: Cross multiply
    734,444,352x = 1,613,172,690 × 1,613,172,690
  4. Step 4: Simplify right side
    734,444,352x = 2,602,326,127,761,836,032
  5. Step 5: Solve for x
    x = 2,602,326,127,761,836,032/734,444,352
  6. Step 6: Final answer
    x = 3,543,258,411.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.