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Finding the Third Proportional to 12,066,541 and 16,878,709

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Solution

The third proportional to 12,066,541 and 16,878,709 is: 23,609,982.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,066,541 : 16,878,709 = 16,878,709 : x
  2. Step 2: Convert to fraction form
    12,066,541/16,878,709 = 16,878,709/x
  3. Step 3: Cross multiply
    12,066,541x = 16,878,709 × 16,878,709
  4. Step 4: Simplify right side
    12,066,541x = 284,890,817,506,681
  5. Step 5: Solve for x
    x = 284,890,817,506,681/12,066,541
  6. Step 6: Final answer
    x = 23,609,982.14

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.