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Finding the Third Proportional to 3,535,550,748 and 4,915,900,712.25

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Solution

The third proportional to 3,535,550,748 and 4,915,900,712.25 is: 6,835,167,003.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535,550,748 : 4,915,900,712.25 = 4,915,900,712.25 : x
  2. Step 2: Convert to fraction form
    3,535,550,748/4,915,900,712.25 = 4,915,900,712.25/x
  3. Step 3: Cross multiply
    3,535,550,748x = 4,915,900,712.25 × 4,915,900,712.25
  4. Step 4: Simplify right side
    3,535,550,748x = 24,166,079,812,700,057,600
  5. Step 5: Solve for x
    x = 24,166,079,812,700,057,600/3,535,550,748
  6. Step 6: Final answer
    x = 6,835,167,003.72

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.