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Finding the Third Proportional to 7,657,807.50 and 16,329,289.50

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Solution

The third proportional to 7,657,807.50 and 16,329,289.50 is: 34,820,109.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657,807.50 : 16,329,289.50 = 16,329,289.50 : x
  2. Step 2: Convert to fraction form
    7,657,807.50/16,329,289.50 = 16,329,289.50/x
  3. Step 3: Cross multiply
    7,657,807.50x = 16,329,289.50 × 16,329,289.50
  4. Step 4: Simplify right side
    7,657,807.50x = 266,645,695,574,810.25
  5. Step 5: Solve for x
    x = 266,645,695,574,810.25/7,657,807.50
  6. Step 6: Final answer
    x = 34,820,109.49

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.