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Finding the Third Proportional to 536,172,930 and 1,157,032,332

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Solution

The third proportional to 536,172,930 and 1,157,032,332 is: 2,496,813,513.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,172,930 : 1,157,032,332 = 1,157,032,332 : x
  2. Step 2: Convert to fraction form
    536,172,930/1,157,032,332 = 1,157,032,332/x
  3. Step 3: Cross multiply
    536,172,930x = 1,157,032,332 × 1,157,032,332
  4. Step 4: Simplify right side
    536,172,930x = 1,338,723,817,293,358,336
  5. Step 5: Solve for x
    x = 1,338,723,817,293,358,336/536,172,930
  6. Step 6: Final answer
    x = 2,496,813,513.68

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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.