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Finding the Third Proportional to 369,427,698 and 803,158,128

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Solution

The third proportional to 369,427,698 and 803,158,128 is: 1,746,114,279.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,427,698 : 803,158,128 = 803,158,128 : x
  2. Step 2: Convert to fraction form
    369,427,698/803,158,128 = 803,158,128/x
  3. Step 3: Cross multiply
    369,427,698x = 803,158,128 × 803,158,128
  4. Step 4: Simplify right side
    369,427,698x = 645,062,978,572,464,384
  5. Step 5: Solve for x
    x = 645,062,978,572,464,384/369,427,698
  6. Step 6: Final answer
    x = 1,746,114,279.10

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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.