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Finding the Third Proportional to 475,643,415.94 and 727,681,170.66

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Solution

The third proportional to 475,643,415.94 and 727,681,170.66 is: 1,113,270,715.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,643,415.94 : 727,681,170.66 = 727,681,170.66 : x
  2. Step 2: Convert to fraction form
    475,643,415.94/727,681,170.66 = 727,681,170.66/x
  3. Step 3: Cross multiply
    475,643,415.94x = 727,681,170.66 × 727,681,170.66
  4. Step 4: Simplify right side
    475,643,415.94x = 529,519,886,127,635,840
  5. Step 5: Solve for x
    x = 529,519,886,127,635,840/475,643,415.94
  6. Step 6: Final answer
    x = 1,113,270,715.80

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.