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Finding the Third Proportional to 1,159,931,856 and 1,756,744,632

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Solution

The third proportional to 1,159,931,856 and 1,756,744,632 is: 2,660,631,903.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159,931,856 : 1,756,744,632 = 1,756,744,632 : x
  2. Step 2: Convert to fraction form
    1,159,931,856/1,756,744,632 = 1,756,744,632/x
  3. Step 3: Cross multiply
    1,159,931,856x = 1,756,744,632 × 1,756,744,632
  4. Step 4: Simplify right side
    1,159,931,856x = 3,086,151,702,060,815,360
  5. Step 5: Solve for x
    x = 3,086,151,702,060,815,360/1,159,931,856
  6. Step 6: Final answer
    x = 2,660,631,903.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.