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Finding the Third Proportional to 432,621,539,323 and 635,972,854,414.50

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Solution

The third proportional to 432,621,539,323 and 635,972,854,414.50 is: 934,908,308,506.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,621,539,323 : 635,972,854,414.50 = 635,972,854,414.50 : x
  2. Step 2: Convert to fraction form
    432,621,539,323/635,972,854,414.50 = 635,972,854,414.50/x
  3. Step 3: Cross multiply
    432,621,539,323x = 635,972,854,414.50 × 635,972,854,414.50
  4. Step 4: Simplify right side
    432,621,539,323x = 404,461,471,552,126,823,956,480
  5. Step 5: Solve for x
    x = 404,461,471,552,126,823,956,480/432,621,539,323
  6. Step 6: Final answer
    x = 934,908,308,506.92

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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.