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Finding the Third Proportional to 948,596,216 and 2,055,516,544

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Solution

The third proportional to 948,596,216 and 2,055,516,544 is: 4,454,106,174.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,596,216 : 2,055,516,544 = 2,055,516,544 : x
  2. Step 2: Convert to fraction form
    948,596,216/2,055,516,544 = 2,055,516,544/x
  3. Step 3: Cross multiply
    948,596,216x = 2,055,516,544 × 2,055,516,544
  4. Step 4: Simplify right side
    948,596,216x = 4,225,148,262,657,703,936
  5. Step 5: Solve for x
    x = 4,225,148,262,657,703,936/948,596,216
  6. Step 6: Final answer
    x = 4,454,106,174.36

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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.