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Finding the Third Proportional to 9,451,208 and 14,596,541

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Solution

The third proportional to 9,451,208 and 14,596,541 is: 22,543,045.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,451,208 : 14,596,541 = 14,596,541 : x
  2. Step 2: Convert to fraction form
    9,451,208/14,596,541 = 14,596,541/x
  3. Step 3: Cross multiply
    9,451,208x = 14,596,541 × 14,596,541
  4. Step 4: Simplify right side
    9,451,208x = 213,059,009,164,681
  5. Step 5: Solve for x
    x = 213,059,009,164,681/9,451,208
  6. Step 6: Final answer
    x = 22,543,045.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.