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Finding the Third Proportional to 290,908,634,358 and 679,693,832,976

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Solution

The third proportional to 290,908,634,358 and 679,693,832,976 is: 1,588,071,483,698.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,908,634,358 : 679,693,832,976 = 679,693,832,976 : x
  2. Step 2: Convert to fraction form
    290,908,634,358/679,693,832,976 = 679,693,832,976/x
  3. Step 3: Cross multiply
    290,908,634,358x = 679,693,832,976 × 679,693,832,976
  4. Step 4: Simplify right side
    290,908,634,358x = 461,983,706,585,606,601,572,352
  5. Step 5: Solve for x
    x = 461,983,706,585,606,601,572,352/290,908,634,358
  6. Step 6: Final answer
    x = 1,588,071,483,698.48

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.