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Finding the Third Proportional to 653,026,612 and 1,420,840,106

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Solution

The third proportional to 653,026,612 and 1,420,840,106 is: 3,091,430,838.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,026,612 : 1,420,840,106 = 1,420,840,106 : x
  2. Step 2: Convert to fraction form
    653,026,612/1,420,840,106 = 1,420,840,106/x
  3. Step 3: Cross multiply
    653,026,612x = 1,420,840,106 × 1,420,840,106
  4. Step 4: Simplify right side
    653,026,612x = 2,018,786,606,818,091,264
  5. Step 5: Solve for x
    x = 2,018,786,606,818,091,264/653,026,612
  6. Step 6: Final answer
    x = 3,091,430,838.68

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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.