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Finding the Third Proportional to 9,186,098.63 and 13,513,062.94

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Solution

The third proportional to 9,186,098.63 and 13,513,062.94 is: 19,878,174.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186,098.63 : 13,513,062.94 = 13,513,062.94 : x
  2. Step 2: Convert to fraction form
    9,186,098.63/13,513,062.94 = 13,513,062.94/x
  3. Step 3: Cross multiply
    9,186,098.63x = 13,513,062.94 × 13,513,062.94
  4. Step 4: Simplify right side
    9,186,098.63x = 182,602,869,952,836.12
  5. Step 5: Solve for x
    x = 182,602,869,952,836.12/9,186,098.63
  6. Step 6: Final answer
    x = 19,878,174.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.