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Finding the Third Proportional to 2,963,758,018.05 and 6,470,618,012.25

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Solution

The third proportional to 2,963,758,018.05 and 6,470,618,012.25 is: 14,126,962,189.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963,758,018.05 : 6,470,618,012.25 = 6,470,618,012.25 : x
  2. Step 2: Convert to fraction form
    2,963,758,018.05/6,470,618,012.25 = 6,470,618,012.25/x
  3. Step 3: Cross multiply
    2,963,758,018.05x = 6,470,618,012.25 × 6,470,618,012.25
  4. Step 4: Simplify right side
    2,963,758,018.05x = 41,868,897,460,442,488,832
  5. Step 5: Solve for x
    x = 41,868,897,460,442,488,832/2,963,758,018.05
  6. Step 6: Final answer
    x = 14,126,962,189.70

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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.