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Finding the Third Proportional to 421,793,303,801 and 924,169,122,070

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Solution

The third proportional to 421,793,303,801 and 924,169,122,070 is: 2,024,898,353,034.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,793,303,801 : 924,169,122,070 = 924,169,122,070 : x
  2. Step 2: Convert to fraction form
    421,793,303,801/924,169,122,070 = 924,169,122,070/x
  3. Step 3: Cross multiply
    421,793,303,801x = 924,169,122,070 × 924,169,122,070
  4. Step 4: Simplify right side
    421,793,303,801x = 854,088,566,187,634,588,647,424
  5. Step 5: Solve for x
    x = 854,088,566,187,634,588,647,424/421,793,303,801
  6. Step 6: Final answer
    x = 2,024,898,353,034.52

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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.