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Finding the Third Proportional to 314,371,578,364 and 683,824,301,048

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Solution

The third proportional to 314,371,578,364 and 683,824,301,048 is: 1,487,461,675,566.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,371,578,364 : 683,824,301,048 = 683,824,301,048 : x
  2. Step 2: Convert to fraction form
    314,371,578,364/683,824,301,048 = 683,824,301,048/x
  3. Step 3: Cross multiply
    314,371,578,364x = 683,824,301,048 × 683,824,301,048
  4. Step 4: Simplify right side
    314,371,578,364x = 467,615,674,703,785,727,361,024
  5. Step 5: Solve for x
    x = 467,615,674,703,785,727,361,024/314,371,578,364
  6. Step 6: Final answer
    x = 1,487,461,675,566.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.