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Finding the Third Proportional to 675,943,074 and 1,448,897,076

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Solution

The third proportional to 675,943,074 and 1,448,897,076 is: 3,105,738,955.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,943,074 : 1,448,897,076 = 1,448,897,076 : x
  2. Step 2: Convert to fraction form
    675,943,074/1,448,897,076 = 1,448,897,076/x
  3. Step 3: Cross multiply
    675,943,074x = 1,448,897,076 × 1,448,897,076
  4. Step 4: Simplify right side
    675,943,074x = 2,099,302,736,841,349,888
  5. Step 5: Solve for x
    x = 2,099,302,736,841,349,888/675,943,074
  6. Step 6: Final answer
    x = 3,105,738,955.82

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