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Finding the Third Proportional to 2,621,814,365 and 5,617,597,117

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Solution

The third proportional to 2,621,814,365 and 5,617,597,117 is: 12,036,472,829.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,621,814,365 : 5,617,597,117 = 5,617,597,117 : x
  2. Step 2: Convert to fraction form
    2,621,814,365/5,617,597,117 = 5,617,597,117/x
  3. Step 3: Cross multiply
    2,621,814,365x = 5,617,597,117 × 5,617,597,117
  4. Step 4: Simplify right side
    2,621,814,365x = 31,557,397,368,926,711,808
  5. Step 5: Solve for x
    x = 31,557,397,368,926,711,808/2,621,814,365
  6. Step 6: Final answer
    x = 12,036,472,829.73

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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.