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Finding the Third Proportional to 387,944,122 and 846,996,038

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Solution

The third proportional to 387,944,122 and 846,996,038 is: 1,849,241,289.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,944,122 : 846,996,038 = 846,996,038 : x
  2. Step 2: Convert to fraction form
    387,944,122/846,996,038 = 846,996,038/x
  3. Step 3: Cross multiply
    387,944,122x = 846,996,038 × 846,996,038
  4. Step 4: Simplify right side
    387,944,122x = 717,402,288,387,697,408
  5. Step 5: Solve for x
    x = 717,402,288,387,697,408/387,944,122
  6. Step 6: Final answer
    x = 1,849,241,289.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.