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Finding the Third Proportional to 384,940,533 and 829,973,994

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Solution

The third proportional to 384,940,533 and 829,973,994 is: 1,789,514,929.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,940,533 : 829,973,994 = 829,973,994 : x
  2. Step 2: Convert to fraction form
    384,940,533/829,973,994 = 829,973,994/x
  3. Step 3: Cross multiply
    384,940,533x = 829,973,994 × 829,973,994
  4. Step 4: Simplify right side
    384,940,533x = 688,856,830,716,312,064
  5. Step 5: Solve for x
    x = 688,856,830,716,312,064/384,940,533
  6. Step 6: Final answer
    x = 1,789,514,929.35

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