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Finding the Third Proportional to 1,185,506,088,154 and 1,599,526,042,000

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Solution

The third proportional to 1,185,506,088,154 and 1,599,526,042,000 is: 2,158,136,161,932.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185,506,088,154 : 1,599,526,042,000 = 1,599,526,042,000 : x
  2. Step 2: Convert to fraction form
    1,185,506,088,154/1,599,526,042,000 = 1,599,526,042,000/x
  3. Step 3: Cross multiply
    1,185,506,088,154x = 1,599,526,042,000 × 1,599,526,042,000
  4. Step 4: Simplify right side
    1,185,506,088,154x = 2,558,483,559,036,185,605,046,272
  5. Step 5: Solve for x
    x = 2,558,483,559,036,185,605,046,272/1,185,506,088,154
  6. Step 6: Final answer
    x = 2,158,136,161,932.42

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.