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Finding the Third Proportional to 2,851,586,496 and 4,537,434,816

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Solution

The third proportional to 2,851,586,496 and 4,537,434,816 is: 7,219,950,977.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851,586,496 : 4,537,434,816 = 4,537,434,816 : x
  2. Step 2: Convert to fraction form
    2,851,586,496/4,537,434,816 = 4,537,434,816/x
  3. Step 3: Cross multiply
    2,851,586,496x = 4,537,434,816 × 4,537,434,816
  4. Step 4: Simplify right side
    2,851,586,496x = 20,588,314,709,448,953,856
  5. Step 5: Solve for x
    x = 20,588,314,709,448,953,856/2,851,586,496
  6. Step 6: Final answer
    x = 7,219,950,977.58

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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.