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Finding the Third Proportional to 847,138,702.50 and 1,238,197,478.63

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Solution

The third proportional to 847,138,702.50 and 1,238,197,478.63 is: 1,809,778,011.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,138,702.50 : 1,238,197,478.63 = 1,238,197,478.63 : x
  2. Step 2: Convert to fraction form
    847,138,702.50/1,238,197,478.63 = 1,238,197,478.63/x
  3. Step 3: Cross multiply
    847,138,702.50x = 1,238,197,478.63 × 1,238,197,478.63
  4. Step 4: Simplify right side
    847,138,702.50x = 1,533,132,996,073,307,392
  5. Step 5: Solve for x
    x = 1,533,132,996,073,307,392/847,138,702.50
  6. Step 6: Final answer
    x = 1,809,778,011.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.