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Finding the Third Proportional to 732,298,868 and 1,105,258,422

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Solution

The third proportional to 732,298,868 and 1,105,258,422 is: 1,668,166,144.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,298,868 : 1,105,258,422 = 1,105,258,422 : x
  2. Step 2: Convert to fraction form
    732,298,868/1,105,258,422 = 1,105,258,422/x
  3. Step 3: Cross multiply
    732,298,868x = 1,105,258,422 × 1,105,258,422
  4. Step 4: Simplify right side
    732,298,868x = 1,221,596,179,401,929,984
  5. Step 5: Solve for x
    x = 1,221,596,179,401,929,984/732,298,868
  6. Step 6: Final answer
    x = 1,668,166,144.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.