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Finding the Third Proportional to 963,936,685.87 and 2,099,000,509.28

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Solution

The third proportional to 963,936,685.87 and 2,099,000,509.28 is: 4,570,635,398.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,936,685.87 : 2,099,000,509.28 = 2,099,000,509.28 : x
  2. Step 2: Convert to fraction form
    963,936,685.87/2,099,000,509.28 = 2,099,000,509.28/x
  3. Step 3: Cross multiply
    963,936,685.87x = 2,099,000,509.28 × 2,099,000,509.28
  4. Step 4: Simplify right side
    963,936,685.87x = 4,405,803,137,951,402,496
  5. Step 5: Solve for x
    x = 4,405,803,137,951,402,496/963,936,685.87
  6. Step 6: Final answer
    x = 4,570,635,398.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.