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Finding the Third Proportional to 559,165,559 and 833,899,319

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Solution

The third proportional to 559,165,559 and 833,899,319 is: 1,243,617,499.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,165,559 : 833,899,319 = 833,899,319 : x
  2. Step 2: Convert to fraction form
    559,165,559/833,899,319 = 833,899,319/x
  3. Step 3: Cross multiply
    559,165,559x = 833,899,319 × 833,899,319
  4. Step 4: Simplify right side
    559,165,559x = 695,388,074,228,663,808
  5. Step 5: Solve for x
    x = 695,388,074,228,663,808/559,165,559
  6. Step 6: Final answer
    x = 1,243,617,499.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.