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Finding the Third Proportional to 3,032,875.50 and 6,492,214.50

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Solution

The third proportional to 3,032,875.50 and 6,492,214.50 is: 13,897,322.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032,875.50 : 6,492,214.50 = 6,492,214.50 : x
  2. Step 2: Convert to fraction form
    3,032,875.50/6,492,214.50 = 6,492,214.50/x
  3. Step 3: Cross multiply
    3,032,875.50x = 6,492,214.50 × 6,492,214.50
  4. Step 4: Simplify right side
    3,032,875.50x = 42,148,849,114,010.25
  5. Step 5: Solve for x
    x = 42,148,849,114,010.25/3,032,875.50
  6. Step 6: Final answer
    x = 13,897,322.56

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Why These Related Problems?

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