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Finding the Third Proportional to 1,445,518,569 and 1,950,343,932

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Solution

The third proportional to 1,445,518,569 and 1,950,343,932 is: 2,631,471,870.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445,518,569 : 1,950,343,932 = 1,950,343,932 : x
  2. Step 2: Convert to fraction form
    1,445,518,569/1,950,343,932 = 1,950,343,932/x
  3. Step 3: Cross multiply
    1,445,518,569x = 1,950,343,932 × 1,950,343,932
  4. Step 4: Simplify right side
    1,445,518,569x = 3,803,841,453,089,220,608
  5. Step 5: Solve for x
    x = 3,803,841,453,089,220,608/1,445,518,569
  6. Step 6: Final answer
    x = 2,631,471,870.83

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.