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Finding the Third Proportional to 674,242,501,572 and 1,591,091,623,113

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Solution

The third proportional to 674,242,501,572 and 1,591,091,623,113 is: 3,754,691,445,938.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,242,501,572 : 1,591,091,623,113 = 1,591,091,623,113 : x
  2. Step 2: Convert to fraction form
    674,242,501,572/1,591,091,623,113 = 1,591,091,623,113/x
  3. Step 3: Cross multiply
    674,242,501,572x = 1,591,091,623,113 × 1,591,091,623,113
  4. Step 4: Simplify right side
    674,242,501,572x = 2,531,572,553,140,360,670,347,264
  5. Step 5: Solve for x
    x = 2,531,572,553,140,360,670,347,264/674,242,501,572
  6. Step 6: Final answer
    x = 3,754,691,445,938.20

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.