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Finding the Third Proportional to 421,793,303,799 and 924,169,122,066

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Solution

The third proportional to 421,793,303,799 and 924,169,122,066 is: 2,024,898,353,026.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,793,303,799 : 924,169,122,066 = 924,169,122,066 : x
  2. Step 2: Convert to fraction form
    421,793,303,799/924,169,122,066 = 924,169,122,066/x
  3. Step 3: Cross multiply
    421,793,303,799x = 924,169,122,066 × 924,169,122,066
  4. Step 4: Simplify right side
    421,793,303,799x = 854,088,566,180,241,205,100,544
  5. Step 5: Solve for x
    x = 854,088,566,180,241,205,100,544/421,793,303,799
  6. Step 6: Final answer
    x = 2,024,898,353,026.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.