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Finding the Third Proportional to 1,257,359,038 and 2,645,018,442

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Solution

The third proportional to 1,257,359,038 and 2,645,018,442 is: 5,564,140,668.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257,359,038 : 2,645,018,442 = 2,645,018,442 : x
  2. Step 2: Convert to fraction form
    1,257,359,038/2,645,018,442 = 2,645,018,442/x
  3. Step 3: Cross multiply
    1,257,359,038x = 2,645,018,442 × 2,645,018,442
  4. Step 4: Simplify right side
    1,257,359,038x = 6,996,122,558,520,107,008
  5. Step 5: Solve for x
    x = 6,996,122,558,520,107,008/1,257,359,038
  6. Step 6: Final answer
    x = 5,564,140,668.72

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.