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Finding the Third Proportional to 44,470,953,662.06 and 67,748,421,776.63

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Solution

The third proportional to 44,470,953,662.06 and 67,748,421,776.63 is: 103,210,034,309.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,470,953,662.06 : 67,748,421,776.63 = 67,748,421,776.63 : x
  2. Step 2: Convert to fraction form
    44,470,953,662.06/67,748,421,776.63 = 67,748,421,776.63/x
  3. Step 3: Cross multiply
    44,470,953,662.06x = 67,748,421,776.63 × 67,748,421,776.63
  4. Step 4: Simplify right side
    44,470,953,662.06x = 4,589,848,653,223,476,330,496
  5. Step 5: Solve for x
    x = 4,589,848,653,223,476,330,496/44,470,953,662.06
  6. Step 6: Final answer
    x = 103,210,034,309.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.