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Finding the Third Proportional to 3,507,353,469.75 and 7,632,142,426.50

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Solution

The third proportional to 3,507,353,469.75 and 7,632,142,426.50 is: 16,607,849,343.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507,353,469.75 : 7,632,142,426.50 = 7,632,142,426.50 : x
  2. Step 2: Convert to fraction form
    3,507,353,469.75/7,632,142,426.50 = 7,632,142,426.50/x
  3. Step 3: Cross multiply
    3,507,353,469.75x = 7,632,142,426.50 × 7,632,142,426.50
  4. Step 4: Simplify right side
    3,507,353,469.75x = 58,249,598,018,381,307,904
  5. Step 5: Solve for x
    x = 58,249,598,018,381,307,904/3,507,353,469.75
  6. Step 6: Final answer
    x = 16,607,849,343.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.