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Finding the Third Proportional to 1,535,416,710 and 3,315,492,372

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Solution

The third proportional to 1,535,416,710 and 3,315,492,372 is: 7,159,287,506.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535,416,710 : 3,315,492,372 = 3,315,492,372 : x
  2. Step 2: Convert to fraction form
    1,535,416,710/3,315,492,372 = 3,315,492,372/x
  3. Step 3: Cross multiply
    1,535,416,710x = 3,315,492,372 × 3,315,492,372
  4. Step 4: Simplify right side
    1,535,416,710x = 10,992,489,668,790,185,984
  5. Step 5: Solve for x
    x = 10,992,489,668,790,185,984/1,535,416,710
  6. Step 6: Final answer
    x = 7,159,287,506.25

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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.