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Finding the Third Proportional to 22,996,005.75 and 35,346,444.75

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Solution

The third proportional to 22,996,005.75 and 35,346,444.75 is: 54,329,920.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,996,005.75 : 35,346,444.75 = 35,346,444.75 : x
  2. Step 2: Convert to fraction form
    22,996,005.75/35,346,444.75 = 35,346,444.75/x
  3. Step 3: Cross multiply
    22,996,005.75x = 35,346,444.75 × 35,346,444.75
  4. Step 4: Simplify right side
    22,996,005.75x = 1,249,371,156,464,802.50
  5. Step 5: Solve for x
    x = 1,249,371,156,464,802.50/22,996,005.75
  6. Step 6: Final answer
    x = 54,329,920.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.