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Finding the Third Proportional to 902,455,535,020 and 1,365,290,117,250

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Solution

The third proportional to 902,455,535,020 and 1,365,290,117,250 is: 2,065,494,677,495.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,455,535,020 : 1,365,290,117,250 = 1,365,290,117,250 : x
  2. Step 2: Convert to fraction form
    902,455,535,020/1,365,290,117,250 = 1,365,290,117,250/x
  3. Step 3: Cross multiply
    902,455,535,020x = 1,365,290,117,250 × 1,365,290,117,250
  4. Step 4: Simplify right side
    902,455,535,020x = 1,864,017,104,260,518,836,699,136
  5. Step 5: Solve for x
    x = 1,864,017,104,260,518,836,699,136/902,455,535,020
  6. Step 6: Final answer
    x = 2,065,494,677,495.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.