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Finding the Third Proportional to 10,435,616 and 16,249,712

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Solution

The third proportional to 10,435,616 and 16,249,712 is: 25,303,071.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435,616 : 16,249,712 = 16,249,712 : x
  2. Step 2: Convert to fraction form
    10,435,616/16,249,712 = 16,249,712/x
  3. Step 3: Cross multiply
    10,435,616x = 16,249,712 × 16,249,712
  4. Step 4: Simplify right side
    10,435,616x = 264,053,140,082,944
  5. Step 5: Solve for x
    x = 264,053,140,082,944/10,435,616
  6. Step 6: Final answer
    x = 25,303,071.72

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.