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Finding the Third Proportional to 411,602,184,836 and 891,584,056,888

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Solution

The third proportional to 411,602,184,836 and 891,584,056,888 is: 1,931,287,441,570.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,602,184,836 : 891,584,056,888 = 891,584,056,888 : x
  2. Step 2: Convert to fraction form
    411,602,184,836/891,584,056,888 = 891,584,056,888/x
  3. Step 3: Cross multiply
    411,602,184,836x = 891,584,056,888 × 891,584,056,888
  4. Step 4: Simplify right side
    411,602,184,836x = 794,922,130,496,864,378,683,392
  5. Step 5: Solve for x
    x = 794,922,130,496,864,378,683,392/411,602,184,836
  6. Step 6: Final answer
    x = 1,931,287,441,570.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.