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Finding the Third Proportional to 78,476,598 and 183,298,428

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Solution

The third proportional to 78,476,598 and 183,298,428 is: 428,131,628.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,476,598 : 183,298,428 = 183,298,428 : x
  2. Step 2: Convert to fraction form
    78,476,598/183,298,428 = 183,298,428/x
  3. Step 3: Cross multiply
    78,476,598x = 183,298,428 × 183,298,428
  4. Step 4: Simplify right side
    78,476,598x = 33,598,313,707,271,184
  5. Step 5: Solve for x
    x = 33,598,313,707,271,184/78,476,598
  6. Step 6: Final answer
    x = 428,131,628.58

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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.