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Finding the Third Proportional to 294,460,164.66 and 637,994,368.31

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Solution

The third proportional to 294,460,164.66 and 637,994,368.31 is: 1,382,315,378.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,460,164.66 : 637,994,368.31 = 637,994,368.31 : x
  2. Step 2: Convert to fraction form
    294,460,164.66/637,994,368.31 = 637,994,368.31/x
  3. Step 3: Cross multiply
    294,460,164.66x = 637,994,368.31 × 637,994,368.31
  4. Step 4: Simplify right side
    294,460,164.66x = 407,036,813,998,465,920
  5. Step 5: Solve for x
    x = 407,036,813,998,465,920/294,460,164.66
  6. Step 6: Final answer
    x = 1,382,315,378.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.