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Finding the Third Proportional to 56,357,252,388 and 120,781,875,222

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Solution

The third proportional to 56,357,252,388 and 120,781,875,222 is: 258,853,311,046.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,357,252,388 : 120,781,875,222 = 120,781,875,222 : x
  2. Step 2: Convert to fraction form
    56,357,252,388/120,781,875,222 = 120,781,875,222/x
  3. Step 3: Cross multiply
    56,357,252,388x = 120,781,875,222 × 120,781,875,222
  4. Step 4: Simplify right side
    56,357,252,388x = 14,588,261,382,142,778,408,960
  5. Step 5: Solve for x
    x = 14,588,261,382,142,778,408,960/56,357,252,388
  6. Step 6: Final answer
    x = 258,853,311,046.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.