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Finding the Third Proportional to 432,760,051.13 and 1,020,568,456.13

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Solution

The third proportional to 432,760,051.13 and 1,020,568,456.13 is: 2,406,784,015.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,760,051.13 : 1,020,568,456.13 = 1,020,568,456.13 : x
  2. Step 2: Convert to fraction form
    432,760,051.13/1,020,568,456.13 = 1,020,568,456.13/x
  3. Step 3: Cross multiply
    432,760,051.13x = 1,020,568,456.13 × 1,020,568,456.13
  4. Step 4: Simplify right side
    432,760,051.13x = 1,041,559,973,637,366,016
  5. Step 5: Solve for x
    x = 1,041,559,973,637,366,016/432,760,051.13
  6. Step 6: Final answer
    x = 2,406,784,015.60

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.