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Finding the Third Proportional to 553,242,705 and 841,192,519.50

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Solution

The third proportional to 553,242,705 and 841,192,519.50 is: 1,279,013,439.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,242,705 : 841,192,519.50 = 841,192,519.50 : x
  2. Step 2: Convert to fraction form
    553,242,705/841,192,519.50 = 841,192,519.50/x
  3. Step 3: Cross multiply
    553,242,705x = 841,192,519.50 × 841,192,519.50
  4. Step 4: Simplify right side
    553,242,705x = 707,604,854,862,757,888
  5. Step 5: Solve for x
    x = 707,604,854,862,757,888/553,242,705
  6. Step 6: Final answer
    x = 1,279,013,439.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.