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Finding the Third Proportional to 653,026,437 and 1,420,839,702

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Solution

The third proportional to 653,026,437 and 1,420,839,702 is: 3,091,429,909.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,026,437 : 1,420,839,702 = 1,420,839,702 : x
  2. Step 2: Convert to fraction form
    653,026,437/1,420,839,702 = 1,420,839,702/x
  3. Step 3: Cross multiply
    653,026,437x = 1,420,839,702 × 1,420,839,702
  4. Step 4: Simplify right side
    653,026,437x = 2,018,785,458,779,448,832
  5. Step 5: Solve for x
    x = 2,018,785,458,779,448,832/653,026,437
  6. Step 6: Final answer
    x = 3,091,429,909.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.