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Finding the Third Proportional to 530,801,996,012 and 1,169,798,346,232

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Solution

The third proportional to 530,801,996,012 and 1,169,798,346,232 is: 2,578,038,856,538.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,801,996,012 : 1,169,798,346,232 = 1,169,798,346,232 : x
  2. Step 2: Convert to fraction form
    530,801,996,012/1,169,798,346,232 = 1,169,798,346,232/x
  3. Step 3: Cross multiply
    530,801,996,012x = 1,169,798,346,232 × 1,169,798,346,232
  4. Step 4: Simplify right side
    530,801,996,012x = 1,368,428,170,847,122,203,082,752
  5. Step 5: Solve for x
    x = 1,368,428,170,847,122,203,082,752/530,801,996,012
  6. Step 6: Final answer
    x = 2,578,038,856,538.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.