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Finding the Third Proportional to 1,183,210,672 and 1,846,445,424

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Solution

The third proportional to 1,183,210,672 and 1,846,445,424 is: 2,881,448,574.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183,210,672 : 1,846,445,424 = 1,846,445,424 : x
  2. Step 2: Convert to fraction form
    1,183,210,672/1,846,445,424 = 1,846,445,424/x
  3. Step 3: Cross multiply
    1,183,210,672x = 1,846,445,424 × 1,846,445,424
  4. Step 4: Simplify right side
    1,183,210,672x = 3,409,360,703,810,539,520
  5. Step 5: Solve for x
    x = 3,409,360,703,810,539,520/1,183,210,672
  6. Step 6: Final answer
    x = 2,881,448,574.20

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.