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Finding the Third Proportional to 1,924,769,402,046 and 4,128,950,532,649.50

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Solution

The third proportional to 1,924,769,402,046 and 4,128,950,532,649.50 is: 8,857,285,700,273.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924,769,402,046 : 4,128,950,532,649.50 = 4,128,950,532,649.50 : x
  2. Step 2: Convert to fraction form
    1,924,769,402,046/4,128,950,532,649.50 = 4,128,950,532,649.50/x
  3. Step 3: Cross multiply
    1,924,769,402,046x = 4,128,950,532,649.50 × 4,128,950,532,649.50
  4. Step 4: Simplify right side
    1,924,769,402,046x = 17,048,232,501,066,588,735,143,936
  5. Step 5: Solve for x
    x = 17,048,232,501,066,588,735,143,936/1,924,769,402,046
  6. Step 6: Final answer
    x = 8,857,285,700,273.80

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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.