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Finding the Third Proportional to 523,462,216 and 1,101,076,496

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Solution

The third proportional to 523,462,216 and 1,101,076,496 is: 2,316,059,140.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,462,216 : 1,101,076,496 = 1,101,076,496 : x
  2. Step 2: Convert to fraction form
    523,462,216/1,101,076,496 = 1,101,076,496/x
  3. Step 3: Cross multiply
    523,462,216x = 1,101,076,496 × 1,101,076,496
  4. Step 4: Simplify right side
    523,462,216x = 1,212,369,450,043,638,016
  5. Step 5: Solve for x
    x = 1,212,369,450,043,638,016/523,462,216
  6. Step 6: Final answer
    x = 2,316,059,140.44

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.