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Finding the Third Proportional to 1,157,183,262 and 2,535,443,384.63

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Solution

The third proportional to 1,157,183,262 and 2,535,443,384.63 is: 5,555,276,651.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157,183,262 : 2,535,443,384.63 = 2,535,443,384.63 : x
  2. Step 2: Convert to fraction form
    1,157,183,262/2,535,443,384.63 = 2,535,443,384.63/x
  3. Step 3: Cross multiply
    1,157,183,262x = 2,535,443,384.63 × 2,535,443,384.63
  4. Step 4: Simplify right side
    1,157,183,262x = 6,428,473,156,638,675,968
  5. Step 5: Solve for x
    x = 6,428,473,156,638,675,968/1,157,183,262
  6. Step 6: Final answer
    x = 5,555,276,651.28

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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.