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Finding the Third Proportional to 559,165,557.38 and 833,899,316.06

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Solution

The third proportional to 559,165,557.38 and 833,899,316.06 is: 1,243,617,494.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,165,557.38 : 833,899,316.06 = 833,899,316.06 : x
  2. Step 2: Convert to fraction form
    559,165,557.38/833,899,316.06 = 833,899,316.06/x
  3. Step 3: Cross multiply
    559,165,557.38x = 833,899,316.06 × 833,899,316.06
  4. Step 4: Simplify right side
    559,165,557.38x = 695,388,069,329,505,280
  5. Step 5: Solve for x
    x = 695,388,069,329,505,280/559,165,557.38
  6. Step 6: Final answer
    x = 1,243,617,494.24

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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.