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Finding the Third Proportional to 7,547,851.69 and 16,432,032.94

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Solution

The third proportional to 7,547,851.69 and 16,432,032.94 is: 35,773,319.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547,851.69 : 16,432,032.94 = 16,432,032.94 : x
  2. Step 2: Convert to fraction form
    7,547,851.69/16,432,032.94 = 16,432,032.94/x
  3. Step 3: Cross multiply
    7,547,851.69x = 16,432,032.94 × 16,432,032.94
  4. Step 4: Simplify right side
    7,547,851.69x = 270,011,706,459,084.88
  5. Step 5: Solve for x
    x = 270,011,706,459,084.88/7,547,851.69
  6. Step 6: Final answer
    x = 35,773,319.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.