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Finding the Third Proportional to 581,426,538.75 and 893,692,693.13

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Solution

The third proportional to 581,426,538.75 and 893,692,693.13 is: 1,373,667,310.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,426,538.75 : 893,692,693.13 = 893,692,693.13 : x
  2. Step 2: Convert to fraction form
    581,426,538.75/893,692,693.13 = 893,692,693.13/x
  3. Step 3: Cross multiply
    581,426,538.75x = 893,692,693.13 × 893,692,693.13
  4. Step 4: Simplify right side
    581,426,538.75x = 798,686,629,745,015,424
  5. Step 5: Solve for x
    x = 798,686,629,745,015,424/581,426,538.75
  6. Step 6: Final answer
    x = 1,373,667,310.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.