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Finding the Third Proportional to 291,021,954,423 and 636,905,945,688

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Solution

The third proportional to 291,021,954,423 and 636,905,945,688 is: 1,393,878,288,175.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,021,954,423 : 636,905,945,688 = 636,905,945,688 : x
  2. Step 2: Convert to fraction form
    291,021,954,423/636,905,945,688 = 636,905,945,688/x
  3. Step 3: Cross multiply
    291,021,954,423x = 636,905,945,688 × 636,905,945,688
  4. Step 4: Simplify right side
    291,021,954,423x = 405,649,183,652,725,615,755,264
  5. Step 5: Solve for x
    x = 405,649,183,652,725,615,755,264/291,021,954,423
  6. Step 6: Final answer
    x = 1,393,878,288,175.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.