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Finding the Third Proportional to 64,736,526 and 138,706,827

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Solution

The third proportional to 64,736,526 and 138,706,827 is: 297,198,275.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,736,526 : 138,706,827 = 138,706,827 : x
  2. Step 2: Convert to fraction form
    64,736,526/138,706,827 = 138,706,827/x
  3. Step 3: Cross multiply
    64,736,526x = 138,706,827 × 138,706,827
  4. Step 4: Simplify right side
    64,736,526x = 19,239,583,856,407,928
  5. Step 5: Solve for x
    x = 19,239,583,856,407,928/64,736,526
  6. Step 6: Final answer
    x = 297,198,275.00

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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.