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Finding the Third Proportional to 242,267,334,374 and 530,128,055,014

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Solution

The third proportional to 242,267,334,374 and 530,128,055,014 is: 1,160,023,308,297.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,267,334,374 : 530,128,055,014 = 530,128,055,014 : x
  2. Step 2: Convert to fraction form
    242,267,334,374/530,128,055,014 = 530,128,055,014/x
  3. Step 3: Cross multiply
    242,267,334,374x = 530,128,055,014 × 530,128,055,014
  4. Step 4: Simplify right side
    242,267,334,374x = 281,035,754,712,926,605,279,232
  5. Step 5: Solve for x
    x = 281,035,754,712,926,605,279,232/242,267,334,374
  6. Step 6: Final answer
    x = 1,160,023,308,297.43

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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.