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Finding the Third Proportional to 3,312,604,658 and 7,090,544,596

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Solution

The third proportional to 3,312,604,658 and 7,090,544,596 is: 15,177,127,323.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312,604,658 : 7,090,544,596 = 7,090,544,596 : x
  2. Step 2: Convert to fraction form
    3,312,604,658/7,090,544,596 = 7,090,544,596/x
  3. Step 3: Cross multiply
    3,312,604,658x = 7,090,544,596 × 7,090,544,596
  4. Step 4: Simplify right side
    3,312,604,658x = 50,275,822,667,864,801,280
  5. Step 5: Solve for x
    x = 50,275,822,667,864,801,280/3,312,604,658
  6. Step 6: Final answer
    x = 15,177,127,323.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.