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Finding the Third Proportional to 7,884,681.75 and 17,107,807.50

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Solution

The third proportional to 7,884,681.75 and 17,107,807.50 is: 37,119,707.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884,681.75 : 17,107,807.50 = 17,107,807.50 : x
  2. Step 2: Convert to fraction form
    7,884,681.75/17,107,807.50 = 17,107,807.50/x
  3. Step 3: Cross multiply
    7,884,681.75x = 17,107,807.50 × 17,107,807.50
  4. Step 4: Simplify right side
    7,884,681.75x = 292,677,077,457,056.25
  5. Step 5: Solve for x
    x = 292,677,077,457,056.25/7,884,681.75
  6. Step 6: Final answer
    x = 37,119,707.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.