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Finding the Third Proportional to 31,744,677.09 and 46,392,124.78

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Solution

The third proportional to 31,744,677.09 and 46,392,124.78 is: 67,798,114.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,744,677.09 : 46,392,124.78 = 46,392,124.78 : x
  2. Step 2: Convert to fraction form
    31,744,677.09/46,392,124.78 = 46,392,124.78/x
  3. Step 3: Cross multiply
    31,744,677.09x = 46,392,124.78 × 46,392,124.78
  4. Step 4: Simplify right side
    31,744,677.09x = 2,152,229,241,719,070.25
  5. Step 5: Solve for x
    x = 2,152,229,241,719,070.25/31,744,677.09
  6. Step 6: Final answer
    x = 67,798,114.16

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.