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Finding the Third Proportional to 934,772,585 and 2,024,664,427

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Solution

The third proportional to 934,772,585 and 2,024,664,427 is: 4,385,308,370.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    934,772,585 : 2,024,664,427 = 2,024,664,427 : x
  2. Step 2: Convert to fraction form
    934,772,585/2,024,664,427 = 2,024,664,427/x
  3. Step 3: Cross multiply
    934,772,585x = 2,024,664,427 × 2,024,664,427
  4. Step 4: Simplify right side
    934,772,585x = 4,099,266,041,959,238,144
  5. Step 5: Solve for x
    x = 4,099,266,041,959,238,144/934,772,585
  6. Step 6: Final answer
    x = 4,385,308,370.98

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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.