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Finding the Third Proportional to 1,185,506,088,081.80 and 1,599,526,041,901.90

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Solution

The third proportional to 1,185,506,088,081.80 and 1,599,526,041,901.90 is: 2,158,136,161,799.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185,506,088,081.80 : 1,599,526,041,901.90 = 1,599,526,041,901.90 : x
  2. Step 2: Convert to fraction form
    1,185,506,088,081.80/1,599,526,041,901.90 = 1,599,526,041,901.90/x
  3. Step 3: Cross multiply
    1,185,506,088,081.80x = 1,599,526,041,901.90 × 1,599,526,041,901.90
  4. Step 4: Simplify right side
    1,185,506,088,081.80x = 2,558,483,558,722,358,250,307,584
  5. Step 5: Solve for x
    x = 2,558,483,558,722,358,250,307,584/1,185,506,088,081.80
  6. Step 6: Final answer
    x = 2,158,136,161,799.13

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