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Finding the Third Proportional to 16,375,890,789 and 23,401,574,653.50

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Solution

The third proportional to 16,375,890,789 and 23,401,574,653.50 is: 33,441,459,968.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,375,890,789 : 23,401,574,653.50 = 23,401,574,653.50 : x
  2. Step 2: Convert to fraction form
    16,375,890,789/23,401,574,653.50 = 23,401,574,653.50/x
  3. Step 3: Cross multiply
    16,375,890,789x = 23,401,574,653.50 × 23,401,574,653.50
  4. Step 4: Simplify right side
    16,375,890,789x = 547,633,696,263,333,675,008
  5. Step 5: Solve for x
    x = 547,633,696,263,333,675,008/16,375,890,789
  6. Step 6: Final answer
    x = 33,441,459,968.16

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.