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Finding the Third Proportional to 35,986,916.25 and 77,708,038.50

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Solution

The third proportional to 35,986,916.25 and 77,708,038.50 is: 167,798,185.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,986,916.25 : 77,708,038.50 = 77,708,038.50 : x
  2. Step 2: Convert to fraction form
    35,986,916.25/77,708,038.50 = 77,708,038.50/x
  3. Step 3: Cross multiply
    35,986,916.25x = 77,708,038.50 × 77,708,038.50
  4. Step 4: Simplify right side
    35,986,916.25x = 6,038,539,247,517,482
  5. Step 5: Solve for x
    x = 6,038,539,247,517,482/35,986,916.25
  6. Step 6: Final answer
    x = 167,798,185.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.