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Finding the Third Proportional to 55,525,994,875 and 84,590,012,369

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Solution

The third proportional to 55,525,994,875 and 84,590,012,369 is: 128,867,032,615.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,525,994,875 : 84,590,012,369 = 84,590,012,369 : x
  2. Step 2: Convert to fraction form
    55,525,994,875/84,590,012,369 = 84,590,012,369/x
  3. Step 3: Cross multiply
    55,525,994,875x = 84,590,012,369 × 84,590,012,369
  4. Step 4: Simplify right side
    55,525,994,875x = 7,155,470,192,587,573,297,152
  5. Step 5: Solve for x
    x = 7,155,470,192,587,573,297,152/55,525,994,875
  6. Step 6: Final answer
    x = 128,867,032,615.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.