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Finding the Third Proportional to 761,932,484 and 1,653,754,888

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Solution

The third proportional to 761,932,484 and 1,653,754,888 is: 3,589,432,511.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,932,484 : 1,653,754,888 = 1,653,754,888 : x
  2. Step 2: Convert to fraction form
    761,932,484/1,653,754,888 = 1,653,754,888/x
  3. Step 3: Cross multiply
    761,932,484x = 1,653,754,888 × 1,653,754,888
  4. Step 4: Simplify right side
    761,932,484x = 2,734,905,229,583,892,480
  5. Step 5: Solve for x
    x = 2,734,905,229,583,892,480/761,932,484
  6. Step 6: Final answer
    x = 3,589,432,511.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.