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Finding the Third Proportional to 9,634,547 and 14,090,115

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Solution

The third proportional to 9,634,547 and 14,090,115 is: 20,606,193.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634,547 : 14,090,115 = 14,090,115 : x
  2. Step 2: Convert to fraction form
    9,634,547/14,090,115 = 14,090,115/x
  3. Step 3: Cross multiply
    9,634,547x = 14,090,115 × 14,090,115
  4. Step 4: Simplify right side
    9,634,547x = 198,531,340,713,225
  5. Step 5: Solve for x
    x = 198,531,340,713,225/9,634,547
  6. Step 6: Final answer
    x = 20,606,193.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.