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Finding the Third Proportional to 966,063,906 and 2,121,912,756

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Solution

The third proportional to 966,063,906 and 2,121,912,756 is: 4,660,678,984.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,063,906 : 2,121,912,756 = 2,121,912,756 : x
  2. Step 2: Convert to fraction form
    966,063,906/2,121,912,756 = 2,121,912,756/x
  3. Step 3: Cross multiply
    966,063,906x = 2,121,912,756 × 2,121,912,756
  4. Step 4: Simplify right side
    966,063,906x = 4,502,513,744,075,515,392
  5. Step 5: Solve for x
    x = 4,502,513,744,075,515,392/966,063,906
  6. Step 6: Final answer
    x = 4,660,678,984.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.