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Finding the Third Proportional to 14,406,810,054 and 31,218,168,288

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Solution

The third proportional to 14,406,810,054 and 31,218,168,288 is: 67,646,760,636.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,406,810,054 : 31,218,168,288 = 31,218,168,288 : x
  2. Step 2: Convert to fraction form
    14,406,810,054/31,218,168,288 = 31,218,168,288/x
  3. Step 3: Cross multiply
    14,406,810,054x = 31,218,168,288 × 31,218,168,288
  4. Step 4: Simplify right side
    14,406,810,054x = 974,574,031,257,888,882,688
  5. Step 5: Solve for x
    x = 974,574,031,257,888,882,688/14,406,810,054
  6. Step 6: Final answer
    x = 67,646,760,636.46

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