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Finding the Third Proportional to 10,827,784 and 24,076,482

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Solution

The third proportional to 10,827,784 and 24,076,482 is: 53,536,068.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,827,784 : 24,076,482 = 24,076,482 : x
  2. Step 2: Convert to fraction form
    10,827,784/24,076,482 = 24,076,482/x
  3. Step 3: Cross multiply
    10,827,784x = 24,076,482 × 24,076,482
  4. Step 4: Simplify right side
    10,827,784x = 579,676,985,496,324
  5. Step 5: Solve for x
    x = 579,676,985,496,324/10,827,784
  6. Step 6: Final answer
    x = 53,536,068.46

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.