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Finding the Third Proportional to 6,742,018 and 9,860,712

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Solution

The third proportional to 6,742,018 and 9,860,712 is: 14,422,038.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742,018 : 9,860,712 = 9,860,712 : x
  2. Step 2: Convert to fraction form
    6,742,018/9,860,712 = 9,860,712/x
  3. Step 3: Cross multiply
    6,742,018x = 9,860,712 × 9,860,712
  4. Step 4: Simplify right side
    6,742,018x = 97,233,641,146,944
  5. Step 5: Solve for x
    x = 97,233,641,146,944/6,742,018
  6. Step 6: Final answer
    x = 14,422,038.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.