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Finding the Third Proportional to 64,736,520 and 138,706,813.50

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Solution

The third proportional to 64,736,520 and 138,706,813.50 is: 297,198,244.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,736,520 : 138,706,813.50 = 138,706,813.50 : x
  2. Step 2: Convert to fraction form
    64,736,520/138,706,813.50 = 138,706,813.50/x
  3. Step 3: Cross multiply
    64,736,520x = 138,706,813.50 × 138,706,813.50
  4. Step 4: Simplify right side
    64,736,520x = 19,239,580,111,323,784
  5. Step 5: Solve for x
    x = 19,239,580,111,323,784/64,736,520
  6. Step 6: Final answer
    x = 297,198,244.69

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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.