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Finding the Third Proportional to 9,702,119 and 14,551,959

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Solution

The third proportional to 9,702,119 and 14,551,959 is: 21,826,109.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702,119 : 14,551,959 = 14,551,959 : x
  2. Step 2: Convert to fraction form
    9,702,119/14,551,959 = 14,551,959/x
  3. Step 3: Cross multiply
    9,702,119x = 14,551,959 × 14,551,959
  4. Step 4: Simplify right side
    9,702,119x = 211,759,510,737,681
  5. Step 5: Solve for x
    x = 211,759,510,737,681/9,702,119
  6. Step 6: Final answer
    x = 21,826,109.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.