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Finding the Third Proportional to 4,973,724 and 7,909,002

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Solution

The third proportional to 4,973,724 and 7,909,002 is: 12,576,554.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973,724 : 7,909,002 = 7,909,002 : x
  2. Step 2: Convert to fraction form
    4,973,724/7,909,002 = 7,909,002/x
  3. Step 3: Cross multiply
    4,973,724x = 7,909,002 × 7,909,002
  4. Step 4: Simplify right side
    4,973,724x = 62,552,312,636,004
  5. Step 5: Solve for x
    x = 62,552,312,636,004/4,973,724
  6. Step 6: Final answer
    x = 12,576,554.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.