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Finding the Third Proportional to 432,621,539,340 and 635,972,854,440

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Solution

The third proportional to 432,621,539,340 and 635,972,854,440 is: 934,908,308,545.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,621,539,340 : 635,972,854,440 = 635,972,854,440 : x
  2. Step 2: Convert to fraction form
    432,621,539,340/635,972,854,440 = 635,972,854,440/x
  3. Step 3: Cross multiply
    432,621,539,340x = 635,972,854,440 × 635,972,854,440
  4. Step 4: Simplify right side
    432,621,539,340x = 404,461,471,584,561,410,342,912
  5. Step 5: Solve for x
    x = 404,461,471,584,561,410,342,912/432,621,539,340
  6. Step 6: Final answer
    x = 934,908,308,545.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.