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Finding the Third Proportional to 452,154,314.50 and 979,442,681

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Solution

The third proportional to 452,154,314.50 and 979,442,681 is: 2,121,638,419.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,154,314.50 : 979,442,681 = 979,442,681 : x
  2. Step 2: Convert to fraction form
    452,154,314.50/979,442,681 = 979,442,681/x
  3. Step 3: Cross multiply
    452,154,314.50x = 979,442,681 × 979,442,681
  4. Step 4: Simplify right side
    452,154,314.50x = 959,307,965,364,467,712
  5. Step 5: Solve for x
    x = 959,307,965,364,467,712/452,154,314.50
  6. Step 6: Final answer
    x = 2,121,638,419.89

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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.