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Finding the Third Proportional to 9,032,713 and 12,876,465

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Solution

The third proportional to 9,032,713 and 12,876,465 is: 18,355,875.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,032,713 : 12,876,465 = 12,876,465 : x
  2. Step 2: Convert to fraction form
    9,032,713/12,876,465 = 12,876,465/x
  3. Step 3: Cross multiply
    9,032,713x = 12,876,465 × 12,876,465
  4. Step 4: Simplify right side
    9,032,713x = 165,803,350,896,225
  5. Step 5: Solve for x
    x = 165,803,350,896,225/9,032,713
  6. Step 6: Final answer
    x = 18,355,875.02

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.