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Finding the Third Proportional to 359,558,525,383.88 and 782,413,835,437.10

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Solution

The third proportional to 359,558,525,383.88 and 782,413,835,437.10 is: 1,702,564,024,117.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,558,525,383.88 : 782,413,835,437.10 = 782,413,835,437.10 : x
  2. Step 2: Convert to fraction form
    359,558,525,383.88/782,413,835,437.10 = 782,413,835,437.10/x
  3. Step 3: Cross multiply
    359,558,525,383.88x = 782,413,835,437.10 × 782,413,835,437.10
  4. Step 4: Simplify right side
    359,558,525,383.88x = 612,171,409,883,393,312,161,792
  5. Step 5: Solve for x
    x = 612,171,409,883,393,312,161,792/359,558,525,383.88
  6. Step 6: Final answer
    x = 1,702,564,024,117.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.