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Finding the Third Proportional to 35,090,727.75 and 78,249,935.25

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Solution

The third proportional to 35,090,727.75 and 78,249,935.25 is: 174,492,031.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,090,727.75 : 78,249,935.25 = 78,249,935.25 : x
  2. Step 2: Convert to fraction form
    35,090,727.75/78,249,935.25 = 78,249,935.25/x
  3. Step 3: Cross multiply
    35,090,727.75x = 78,249,935.25 × 78,249,935.25
  4. Step 4: Simplify right side
    35,090,727.75x = 6,123,052,366,629,193
  5. Step 5: Solve for x
    x = 6,123,052,366,629,193/35,090,727.75
  6. Step 6: Final answer
    x = 174,492,031.35

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.