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Finding the Third Proportional to 3,547,470 and 7,781,678

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Solution

The third proportional to 3,547,470 and 7,781,678 is: 17,069,774.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547,470 : 7,781,678 = 7,781,678 : x
  2. Step 2: Convert to fraction form
    3,547,470/7,781,678 = 7,781,678/x
  3. Step 3: Cross multiply
    3,547,470x = 7,781,678 × 7,781,678
  4. Step 4: Simplify right side
    3,547,470x = 60,554,512,495,684
  5. Step 5: Solve for x
    x = 60,554,512,495,684/3,547,470
  6. Step 6: Final answer
    x = 17,069,774.37

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.