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Finding the Third Proportional to 545,088,993,696 and 1,186,161,406,248

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Solution

The third proportional to 545,088,993,696 and 1,186,161,406,248 is: 2,581,191,141,160.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,088,993,696 : 1,186,161,406,248 = 1,186,161,406,248 : x
  2. Step 2: Convert to fraction form
    545,088,993,696/1,186,161,406,248 = 1,186,161,406,248/x
  3. Step 3: Cross multiply
    545,088,993,696x = 1,186,161,406,248 × 1,186,161,406,248
  4. Step 4: Simplify right side
    545,088,993,696x = 1,406,978,881,672,233,015,574,528
  5. Step 5: Solve for x
    x = 1,406,978,881,672,233,015,574,528/545,088,993,696
  6. Step 6: Final answer
    x = 2,581,191,141,160.55

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.