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Finding the Third Proportional to 10,778,688 and 22,968,396

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Solution

The third proportional to 10,778,688 and 22,968,396 is: 48,943,546.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,778,688 : 22,968,396 = 22,968,396 : x
  2. Step 2: Convert to fraction form
    10,778,688/22,968,396 = 22,968,396/x
  3. Step 3: Cross multiply
    10,778,688x = 22,968,396 × 22,968,396
  4. Step 4: Simplify right side
    10,778,688x = 527,547,214,812,816
  5. Step 5: Solve for x
    x = 527,547,214,812,816/10,778,688
  6. Step 6: Final answer
    x = 48,943,546.27

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Why These Related Problems?

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