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Finding the Third Proportional to 19,658,169 and 29,316,778

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Solution

The third proportional to 19,658,169 and 29,316,778 is: 43,720,932.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,658,169 : 29,316,778 = 29,316,778 : x
  2. Step 2: Convert to fraction form
    19,658,169/29,316,778 = 29,316,778/x
  3. Step 3: Cross multiply
    19,658,169x = 29,316,778 × 29,316,778
  4. Step 4: Simplify right side
    19,658,169x = 859,473,472,301,284
  5. Step 5: Solve for x
    x = 859,473,472,301,284/19,658,169
  6. Step 6: Final answer
    x = 43,720,932.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.