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Finding the Third Proportional to 1,938,235,730.50 and 4,227,271,730

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Solution

The third proportional to 1,938,235,730.50 and 4,227,271,730 is: 9,219,635,154.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938,235,730.50 : 4,227,271,730 = 4,227,271,730 : x
  2. Step 2: Convert to fraction form
    1,938,235,730.50/4,227,271,730 = 4,227,271,730/x
  3. Step 3: Cross multiply
    1,938,235,730.50x = 4,227,271,730 × 4,227,271,730
  4. Step 4: Simplify right side
    1,938,235,730.50x = 17,869,826,279,257,192,448
  5. Step 5: Solve for x
    x = 17,869,826,279,257,192,448/1,938,235,730.50
  6. Step 6: Final answer
    x = 9,219,635,154.83

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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.