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Finding the Third Proportional to 809,648,477.25 and 1,243,935,400.50

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Solution

The third proportional to 809,648,477.25 and 1,243,935,400.50 is: 1,911,169,259.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,648,477.25 : 1,243,935,400.50 = 1,243,935,400.50 : x
  2. Step 2: Convert to fraction form
    809,648,477.25/1,243,935,400.50 = 1,243,935,400.50/x
  3. Step 3: Cross multiply
    809,648,477.25x = 1,243,935,400.50 × 1,243,935,400.50
  4. Step 4: Simplify right side
    809,648,477.25x = 1,547,375,280,617,095,424
  5. Step 5: Solve for x
    x = 1,547,375,280,617,095,424/809,648,477.25
  6. Step 6: Final answer
    x = 1,911,169,259.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.