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Finding the Third Proportional to 1,533,812,006 and 3,312,788,170

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Solution

The third proportional to 1,533,812,006 and 3,312,788,170 is: 7,155,091,638.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533,812,006 : 3,312,788,170 = 3,312,788,170 : x
  2. Step 2: Convert to fraction form
    1,533,812,006/3,312,788,170 = 3,312,788,170/x
  3. Step 3: Cross multiply
    1,533,812,006x = 3,312,788,170 × 3,312,788,170
  4. Step 4: Simplify right side
    1,533,812,006x = 10,974,565,459,291,949,056
  5. Step 5: Solve for x
    x = 10,974,565,459,291,949,056/1,533,812,006
  6. Step 6: Final answer
    x = 7,155,091,638.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.