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Finding the Third Proportional to 1,931,561,000 and 4,184,011,102

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Solution

The third proportional to 1,931,561,000 and 4,184,011,102 is: 9,063,109,527.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931,561,000 : 4,184,011,102 = 4,184,011,102 : x
  2. Step 2: Convert to fraction form
    1,931,561,000/4,184,011,102 = 4,184,011,102/x
  3. Step 3: Cross multiply
    1,931,561,000x = 4,184,011,102 × 4,184,011,102
  4. Step 4: Simplify right side
    1,931,561,000x = 17,505,948,901,659,254,784
  5. Step 5: Solve for x
    x = 17,505,948,901,659,254,784/1,931,561,000
  6. Step 6: Final answer
    x = 9,063,109,527.30

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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.