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Finding the Third Proportional to 6,886,215,733.50 and 14,729,812,587

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Solution

The third proportional to 6,886,215,733.50 and 14,729,812,587 is: 31,507,490,796.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886,215,733.50 : 14,729,812,587 = 14,729,812,587 : x
  2. Step 2: Convert to fraction form
    6,886,215,733.50/14,729,812,587 = 14,729,812,587/x
  3. Step 3: Cross multiply
    6,886,215,733.50x = 14,729,812,587 × 14,729,812,587
  4. Step 4: Simplify right side
    6,886,215,733.50x = 216,967,378,848,143,638,528
  5. Step 5: Solve for x
    x = 216,967,378,848,143,638,528/6,886,215,733.50
  6. Step 6: Final answer
    x = 31,507,490,796.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.