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Finding the Third Proportional to 1,049,540,313 and 2,429,750,158

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Solution

The third proportional to 1,049,540,313 and 2,429,750,158 is: 5,625,020,551.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049,540,313 : 2,429,750,158 = 2,429,750,158 : x
  2. Step 2: Convert to fraction form
    1,049,540,313/2,429,750,158 = 2,429,750,158/x
  3. Step 3: Cross multiply
    1,049,540,313x = 2,429,750,158 × 2,429,750,158
  4. Step 4: Simplify right side
    1,049,540,313x = 5,903,685,830,301,025,280
  5. Step 5: Solve for x
    x = 5,903,685,830,301,025,280/1,049,540,313
  6. Step 6: Final answer
    x = 5,625,020,551.55

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.