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Finding the Third Proportional to 7,862,490 and 16,818,002.25

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Solution

The third proportional to 7,862,490 and 16,818,002.25 is: 35,973,998.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862,490 : 16,818,002.25 = 16,818,002.25 : x
  2. Step 2: Convert to fraction form
    7,862,490/16,818,002.25 = 16,818,002.25/x
  3. Step 3: Cross multiply
    7,862,490x = 16,818,002.25 × 16,818,002.25
  4. Step 4: Simplify right side
    7,862,490x = 282,845,199,681,005.06
  5. Step 5: Solve for x
    x = 282,845,199,681,005.06/7,862,490
  6. Step 6: Final answer
    x = 35,973,998.02

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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.