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Finding the Third Proportional to 1,845,313,854 and 4,041,142,500

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Solution

The third proportional to 1,845,313,854 and 4,041,142,500 is: 8,849,894,379.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845,313,854 : 4,041,142,500 = 4,041,142,500 : x
  2. Step 2: Convert to fraction form
    1,845,313,854/4,041,142,500 = 4,041,142,500/x
  3. Step 3: Cross multiply
    1,845,313,854x = 4,041,142,500 × 4,041,142,500
  4. Step 4: Simplify right side
    1,845,313,854x = 16,330,832,705,306,249,216
  5. Step 5: Solve for x
    x = 16,330,832,705,306,249,216/1,845,313,854
  6. Step 6: Final answer
    x = 8,849,894,379.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.