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Finding the Third Proportional to 8,506,792.50 and 18,666,952.50

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Solution

The third proportional to 8,506,792.50 and 18,666,952.50 is: 40,961,986.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506,792.50 : 18,666,952.50 = 18,666,952.50 : x
  2. Step 2: Convert to fraction form
    8,506,792.50/18,666,952.50 = 18,666,952.50/x
  3. Step 3: Cross multiply
    8,506,792.50x = 18,666,952.50 × 18,666,952.50
  4. Step 4: Simplify right side
    8,506,792.50x = 348,455,115,637,256.25
  5. Step 5: Solve for x
    x = 348,455,115,637,256.25/8,506,792.50
  6. Step 6: Final answer
    x = 40,961,986.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.