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Finding the Third Proportional to 2,929,196,451 and 4,421,034,582

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Solution

The third proportional to 2,929,196,451 and 4,421,034,582 is: 6,672,665,047.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929,196,451 : 4,421,034,582 = 4,421,034,582 : x
  2. Step 2: Convert to fraction form
    2,929,196,451/4,421,034,582 = 4,421,034,582/x
  3. Step 3: Cross multiply
    2,929,196,451x = 4,421,034,582 × 4,421,034,582
  4. Step 4: Simplify right side
    2,929,196,451x = 19,545,546,775,239,913,472
  5. Step 5: Solve for x
    x = 19,545,546,775,239,913,472/2,929,196,451
  6. Step 6: Final answer
    x = 6,672,665,047.29

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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.