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Finding the Third Proportional to 407,644,114,931.55 and 886,858,369,046.90

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Solution

The third proportional to 407,644,114,931.55 and 886,858,369,046.90 is: 1,929,422,596,670.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,644,114,931.55 : 886,858,369,046.90 = 886,858,369,046.90 : x
  2. Step 2: Convert to fraction form
    407,644,114,931.55/886,858,369,046.90 = 886,858,369,046.90/x
  3. Step 3: Cross multiply
    407,644,114,931.55x = 886,858,369,046.90 × 886,858,369,046.90
  4. Step 4: Simplify right side
    407,644,114,931.55x = 786,517,766,748,527,468,216,320
  5. Step 5: Solve for x
    x = 786,517,766,748,527,468,216,320/407,644,114,931.55
  6. Step 6: Final answer
    x = 1,929,422,596,670.13

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1.5x scale

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.