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Finding the Third Proportional to 19,346,906 and 45,606,688

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Solution

The third proportional to 19,346,906 and 45,606,688 is: 107,509,179.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,346,906 : 45,606,688 = 45,606,688 : x
  2. Step 2: Convert to fraction form
    19,346,906/45,606,688 = 45,606,688/x
  3. Step 3: Cross multiply
    19,346,906x = 45,606,688 × 45,606,688
  4. Step 4: Simplify right side
    19,346,906x = 2,079,969,990,329,344
  5. Step 5: Solve for x
    x = 2,079,969,990,329,344/19,346,906
  6. Step 6: Final answer
    x = 107,509,179.52

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.