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Finding the Third Proportional to 6,911,509 and 14,973,090

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Solution

The third proportional to 6,911,509 and 14,973,090 is: 32,437,695.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911,509 : 14,973,090 = 14,973,090 : x
  2. Step 2: Convert to fraction form
    6,911,509/14,973,090 = 14,973,090/x
  3. Step 3: Cross multiply
    6,911,509x = 14,973,090 × 14,973,090
  4. Step 4: Simplify right side
    6,911,509x = 224,193,424,148,100
  5. Step 5: Solve for x
    x = 224,193,424,148,100/6,911,509
  6. Step 6: Final answer
    x = 32,437,695.47

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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.