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Finding the Third Proportional to 30,391,047,266 and 66,013,742,236

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Solution

The third proportional to 30,391,047,266 and 66,013,742,236 is: 143,391,378,581.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,391,047,266 : 66,013,742,236 = 66,013,742,236 : x
  2. Step 2: Convert to fraction form
    30,391,047,266/66,013,742,236 = 66,013,742,236/x
  3. Step 3: Cross multiply
    30,391,047,266x = 66,013,742,236 × 66,013,742,236
  4. Step 4: Simplify right side
    30,391,047,266x = 4,357,814,164,001,050,329,088
  5. Step 5: Solve for x
    x = 4,357,814,164,001,050,329,088/30,391,047,266
  6. Step 6: Final answer
    x = 143,391,378,581.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.