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Finding the Third Proportional to 402,145,110,346 and 599,730,310,095

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Solution

The third proportional to 402,145,110,346 and 599,730,310,095 is: 894,394,673,945.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,145,110,346 : 599,730,310,095 = 599,730,310,095 : x
  2. Step 2: Convert to fraction form
    402,145,110,346/599,730,310,095 = 599,730,310,095/x
  3. Step 3: Cross multiply
    402,145,110,346x = 599,730,310,095 × 599,730,310,095
  4. Step 4: Simplify right side
    402,145,110,346x = 359,676,444,846,644,845,871,104
  5. Step 5: Solve for x
    x = 359,676,444,846,644,845,871,104/402,145,110,346
  6. Step 6: Final answer
    x = 894,394,673,945.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.