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Finding the Third Proportional to 8,559,895,270 and 17,360,475,314

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Solution

The third proportional to 8,559,895,270 and 17,360,475,314 is: 35,209,087,684.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,559,895,270 : 17,360,475,314 = 17,360,475,314 : x
  2. Step 2: Convert to fraction form
    8,559,895,270/17,360,475,314 = 17,360,475,314/x
  3. Step 3: Cross multiply
    8,559,895,270x = 17,360,475,314 × 17,360,475,314
  4. Step 4: Simplify right side
    8,559,895,270x = 301,386,103,128,003,379,200
  5. Step 5: Solve for x
    x = 301,386,103,128,003,379,200/8,559,895,270
  6. Step 6: Final answer
    x = 35,209,087,684.08

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.