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Finding the Third Proportional to 34,044,280.13 and 70,510,979.06

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Solution

The third proportional to 34,044,280.13 and 70,510,979.06 is: 146,039,162.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,044,280.13 : 70,510,979.06 = 70,510,979.06 : x
  2. Step 2: Convert to fraction form
    34,044,280.13/70,510,979.06 = 70,510,979.06/x
  3. Step 3: Cross multiply
    34,044,280.13x = 70,510,979.06 × 70,510,979.06
  4. Step 4: Simplify right side
    34,044,280.13x = 4,971,798,168,352,313
  5. Step 5: Solve for x
    x = 4,971,798,168,352,313/34,044,280.13
  6. Step 6: Final answer
    x = 146,039,162.82

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.