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Finding the Third Proportional to 2,653,077,424.50 and 5,678,849,175

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Solution

The third proportional to 2,653,077,424.50 and 5,678,849,175 is: 12,155,441,697.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653,077,424.50 : 5,678,849,175 = 5,678,849,175 : x
  2. Step 2: Convert to fraction form
    2,653,077,424.50/5,678,849,175 = 5,678,849,175/x
  3. Step 3: Cross multiply
    2,653,077,424.50x = 5,678,849,175 × 5,678,849,175
  4. Step 4: Simplify right side
    2,653,077,424.50x = 32,249,327,952,398,180,352
  5. Step 5: Solve for x
    x = 32,249,327,952,398,180,352/2,653,077,424.50
  6. Step 6: Final answer
    x = 12,155,441,697.48

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.