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Finding the Third Proportional to 5,416,829,758 and 7,628,089,951

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Solution

The third proportional to 5,416,829,758 and 7,628,089,951 is: 10,742,031,575.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416,829,758 : 7,628,089,951 = 7,628,089,951 : x
  2. Step 2: Convert to fraction form
    5,416,829,758/7,628,089,951 = 7,628,089,951/x
  3. Step 3: Cross multiply
    5,416,829,758x = 7,628,089,951 × 7,628,089,951
  4. Step 4: Simplify right side
    5,416,829,758x = 58,187,756,300,547,178,496
  5. Step 5: Solve for x
    x = 58,187,756,300,547,178,496/5,416,829,758
  6. Step 6: Final answer
    x = 10,742,031,575.69

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.