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Finding the Third Proportional to 1,297,864,616,890 and 1,907,918,561,814.50

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Solution

The third proportional to 1,297,864,616,890 and 1,907,918,561,814.50 is: 2,804,724,923,651.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,864,616,890 : 1,907,918,561,814.50 = 1,907,918,561,814.50 : x
  2. Step 2: Convert to fraction form
    1,297,864,616,890/1,907,918,561,814.50 = 1,907,918,561,814.50/x
  3. Step 3: Cross multiply
    1,297,864,616,890x = 1,907,918,561,814.50 × 1,907,918,561,814.50
  4. Step 4: Simplify right side
    1,297,864,616,890x = 3,640,153,238,516,310,126,624,768
  5. Step 5: Solve for x
    x = 3,640,153,238,516,310,126,624,768/1,297,864,616,890
  6. Step 6: Final answer
    x = 2,804,724,923,651.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.