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Finding the Third Proportional to 154,078,114,748 and 312,488,555,752

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Solution

The third proportional to 154,078,114,748 and 312,488,555,752 is: 633,763,579,179.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,078,114,748 : 312,488,555,752 = 312,488,555,752 : x
  2. Step 2: Convert to fraction form
    154,078,114,748/312,488,555,752 = 312,488,555,752/x
  3. Step 3: Cross multiply
    154,078,114,748x = 312,488,555,752 × 312,488,555,752
  4. Step 4: Simplify right side
    154,078,114,748x = 97,649,097,475,970,819,948,544
  5. Step 5: Solve for x
    x = 97,649,097,475,970,819,948,544/154,078,114,748
  6. Step 6: Final answer
    x = 633,763,579,179.82

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.