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Finding the Third Proportional to 39,676,963,938 and 85,665,670,572

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Solution

The third proportional to 39,676,963,938 and 85,665,670,572 is: 184,958,887,631.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,676,963,938 : 85,665,670,572 = 85,665,670,572 : x
  2. Step 2: Convert to fraction form
    39,676,963,938/85,665,670,572 = 85,665,670,572/x
  3. Step 3: Cross multiply
    39,676,963,938x = 85,665,670,572 × 85,665,670,572
  4. Step 4: Simplify right side
    39,676,963,938x = 7,338,607,114,550,426,730,496
  5. Step 5: Solve for x
    x = 7,338,607,114,550,426,730,496/39,676,963,938
  6. Step 6: Final answer
    x = 184,958,887,631.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.