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Finding the Third Proportional to 553,242,706.50 and 841,192,521.75

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Solution

The third proportional to 553,242,706.50 and 841,192,521.75 is: 1,279,013,442.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,242,706.50 : 841,192,521.75 = 841,192,521.75 : x
  2. Step 2: Convert to fraction form
    553,242,706.50/841,192,521.75 = 841,192,521.75/x
  3. Step 3: Cross multiply
    553,242,706.50x = 841,192,521.75 × 841,192,521.75
  4. Step 4: Simplify right side
    553,242,706.50x = 707,604,858,648,124,160
  5. Step 5: Solve for x
    x = 707,604,858,648,124,160/553,242,706.50
  6. Step 6: Final answer
    x = 1,279,013,442.63

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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.