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Finding the Third Proportional to 435,430,149,946 and 605,430,818,344

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Solution

The third proportional to 435,430,149,946 and 605,430,818,344 is: 841,803,159,120.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,430,149,946 : 605,430,818,344 = 605,430,818,344 : x
  2. Step 2: Convert to fraction form
    435,430,149,946/605,430,818,344 = 605,430,818,344/x
  3. Step 3: Cross multiply
    435,430,149,946x = 605,430,818,344 × 605,430,818,344
  4. Step 4: Simplify right side
    435,430,149,946x = 366,546,475,800,685,514,326,016
  5. Step 5: Solve for x
    x = 366,546,475,800,685,514,326,016/435,430,149,946
  6. Step 6: Final answer
    x = 841,803,159,120.11

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.