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Finding the Third Proportional to 1,809,652,996,580 and 2,698,786,395,456

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Solution

The third proportional to 1,809,652,996,580 and 2,698,786,395,456 is: 4,024,776,032,788.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809,652,996,580 : 2,698,786,395,456 = 2,698,786,395,456 : x
  2. Step 2: Convert to fraction form
    1,809,652,996,580/2,698,786,395,456 = 2,698,786,395,456/x
  3. Step 3: Cross multiply
    1,809,652,996,580x = 2,698,786,395,456 × 2,698,786,395,456
  4. Step 4: Simplify right side
    1,809,652,996,580x = 7,283,448,008,298,389,244,477,440
  5. Step 5: Solve for x
    x = 7,283,448,008,298,389,244,477,440/1,809,652,996,580
  6. Step 6: Final answer
    x = 4,024,776,032,788.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.