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Finding the Third Proportional to 9,004,754,748 and 19,559,627,334

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Solution

The third proportional to 9,004,754,748 and 19,559,627,334 is: 42,486,334,403.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,004,754,748 : 19,559,627,334 = 19,559,627,334 : x
  2. Step 2: Convert to fraction form
    9,004,754,748/19,559,627,334 = 19,559,627,334/x
  3. Step 3: Cross multiply
    9,004,754,748x = 19,559,627,334 × 19,559,627,334
  4. Step 4: Simplify right side
    9,004,754,748x = 382,579,021,444,959,961,088
  5. Step 5: Solve for x
    x = 382,579,021,444,959,961,088/9,004,754,748
  6. Step 6: Final answer
    x = 42,486,334,403.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.