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Finding the Third Proportional to 247,141,453.13 and 532,556,666.25

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Solution

The third proportional to 247,141,453.13 and 532,556,666.25 is: 1,147,588,149.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,141,453.13 : 532,556,666.25 = 532,556,666.25 : x
  2. Step 2: Convert to fraction form
    247,141,453.13/532,556,666.25 = 532,556,666.25/x
  3. Step 3: Cross multiply
    247,141,453.13x = 532,556,666.25 × 532,556,666.25
  4. Step 4: Simplify right side
    247,141,453.13x = 283,616,602,767,313,888
  5. Step 5: Solve for x
    x = 283,616,602,767,313,888/247,141,453.13
  6. Step 6: Final answer
    x = 1,147,588,149.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.