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Finding the Third Proportional to 9,953,281.50 and 21,835,011

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Solution

The third proportional to 9,953,281.50 and 21,835,011 is: 47,900,554.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,953,281.50 : 21,835,011 = 21,835,011 : x
  2. Step 2: Convert to fraction form
    9,953,281.50/21,835,011 = 21,835,011/x
  3. Step 3: Cross multiply
    9,953,281.50x = 21,835,011 × 21,835,011
  4. Step 4: Simplify right side
    9,953,281.50x = 476,767,705,370,121
  5. Step 5: Solve for x
    x = 476,767,705,370,121/9,953,281.50
  6. Step 6: Final answer
    x = 47,900,554.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.