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Finding the Third Proportional to 523,462,368 and 1,101,076,800

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Solution

The third proportional to 523,462,368 and 1,101,076,800 is: 2,316,059,746.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,462,368 : 1,101,076,800 = 1,101,076,800 : x
  2. Step 2: Convert to fraction form
    523,462,368/1,101,076,800 = 1,101,076,800/x
  3. Step 3: Cross multiply
    523,462,368x = 1,101,076,800 × 1,101,076,800
  4. Step 4: Simplify right side
    523,462,368x = 1,212,370,119,498,240,000
  5. Step 5: Solve for x
    x = 1,212,370,119,498,240,000/523,462,368
  6. Step 6: Final answer
    x = 2,316,059,746.82

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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.