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Finding the Third Proportional to 473,134,492.13 and 1,035,461,769.75

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Solution

The third proportional to 473,134,492.13 and 1,035,461,769.75 is: 2,266,123,257.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,134,492.13 : 1,035,461,769.75 = 1,035,461,769.75 : x
  2. Step 2: Convert to fraction form
    473,134,492.13/1,035,461,769.75 = 1,035,461,769.75/x
  3. Step 3: Cross multiply
    473,134,492.13x = 1,035,461,769.75 × 1,035,461,769.75
  4. Step 4: Simplify right side
    473,134,492.13x = 1,072,181,076,613,801,984
  5. Step 5: Solve for x
    x = 1,072,181,076,613,801,984/473,134,492.13
  6. Step 6: Final answer
    x = 2,266,123,257.68

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