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Finding the Third Proportional to 64,754,933 and 99,633,461

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Solution

The third proportional to 64,754,933 and 99,633,461 is: 153,298,383.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,754,933 : 99,633,461 = 99,633,461 : x
  2. Step 2: Convert to fraction form
    64,754,933/99,633,461 = 99,633,461/x
  3. Step 3: Cross multiply
    64,754,933x = 99,633,461 × 99,633,461
  4. Step 4: Simplify right side
    64,754,933x = 9,926,826,550,838,520
  5. Step 5: Solve for x
    x = 9,926,826,550,838,520/64,754,933
  6. Step 6: Final answer
    x = 153,298,383.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.