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Finding the Third Proportional to 474,860,264.06 and 1,031,465,026.13

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Solution

The third proportional to 474,860,264.06 and 1,031,465,026.13 is: 2,240,490,899.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,860,264.06 : 1,031,465,026.13 = 1,031,465,026.13 : x
  2. Step 2: Convert to fraction form
    474,860,264.06/1,031,465,026.13 = 1,031,465,026.13/x
  3. Step 3: Cross multiply
    474,860,264.06x = 1,031,465,026.13 × 1,031,465,026.13
  4. Step 4: Simplify right side
    474,860,264.06x = 1,063,920,100,119,046,912
  5. Step 5: Solve for x
    x = 1,063,920,100,119,046,912/474,860,264.06
  6. Step 6: Final answer
    x = 2,240,490,899.40

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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.