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Finding the Third Proportional to 9,788,594 and 21,468,196

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Solution

The third proportional to 9,788,594 and 21,468,196 is: 47,083,722.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788,594 : 21,468,196 = 21,468,196 : x
  2. Step 2: Convert to fraction form
    9,788,594/21,468,196 = 21,468,196/x
  3. Step 3: Cross multiply
    9,788,594x = 21,468,196 × 21,468,196
  4. Step 4: Simplify right side
    9,788,594x = 460,883,439,494,416
  5. Step 5: Solve for x
    x = 460,883,439,494,416/9,788,594
  6. Step 6: Final answer
    x = 47,083,722.08

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.