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Finding the Third Proportional to 9,184,660,114,353 and 19,679,386,571,550

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Solution

The third proportional to 9,184,660,114,353 and 19,679,386,571,550 is: 42,165,768,902,792.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,184,660,114,353 : 19,679,386,571,550 = 19,679,386,571,550 : x
  2. Step 2: Convert to fraction form
    9,184,660,114,353/19,679,386,571,550 = 19,679,386,571,550/x
  3. Step 3: Cross multiply
    9,184,660,114,353x = 19,679,386,571,550 × 19,679,386,571,550
  4. Step 4: Simplify right side
    9,184,660,114,353x = 387,278,255,832,502,453,619,654,656
  5. Step 5: Solve for x
    x = 387,278,255,832,502,453,619,654,656/9,184,660,114,353
  6. Step 6: Final answer
    x = 42,165,768,902,792.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.