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Finding the Third Proportional to 623,409,103.69 and 1,355,329,047.38

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Solution

The third proportional to 623,409,103.69 and 1,355,329,047.38 is: 2,946,567,215.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,409,103.69 : 1,355,329,047.38 = 1,355,329,047.38 : x
  2. Step 2: Convert to fraction form
    623,409,103.69/1,355,329,047.38 = 1,355,329,047.38/x
  3. Step 3: Cross multiply
    623,409,103.69x = 1,355,329,047.38 × 1,355,329,047.38
  4. Step 4: Simplify right side
    623,409,103.69x = 1,836,916,826,658,425,088
  5. Step 5: Solve for x
    x = 1,836,916,826,658,425,088/623,409,103.69
  6. Step 6: Final answer
    x = 2,946,567,215.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.