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Finding the Third Proportional to 758,502,774,518 and 1,095,905,523,729

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Solution

The third proportional to 758,502,774,518 and 1,095,905,523,729 is: 1,583,394,230,433.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,502,774,518 : 1,095,905,523,729 = 1,095,905,523,729 : x
  2. Step 2: Convert to fraction form
    758,502,774,518/1,095,905,523,729 = 1,095,905,523,729/x
  3. Step 3: Cross multiply
    758,502,774,518x = 1,095,905,523,729 × 1,095,905,523,729
  4. Step 4: Simplify right side
    758,502,774,518x = 1,201,008,916,939,733,777,514,496
  5. Step 5: Solve for x
    x = 1,201,008,916,939,733,777,514,496/758,502,774,518
  6. Step 6: Final answer
    x = 1,583,394,230,433.67

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.