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Finding the Third Proportional to 373,857,778.13 and 813,547,810.13

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Solution

The third proportional to 373,857,778.13 and 813,547,810.13 is: 1,770,352,465.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,857,778.13 : 813,547,810.13 = 813,547,810.13 : x
  2. Step 2: Convert to fraction form
    373,857,778.13/813,547,810.13 = 813,547,810.13/x
  3. Step 3: Cross multiply
    373,857,778.13x = 813,547,810.13 × 813,547,810.13
  4. Step 4: Simplify right side
    373,857,778.13x = 661,860,039,359,183,104
  5. Step 5: Solve for x
    x = 661,860,039,359,183,104/373,857,778.13
  6. Step 6: Final answer
    x = 1,770,352,465.79

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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.