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Finding the Third Proportional to 4,242,506,964 and 9,219,426,018

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Solution

The third proportional to 4,242,506,964 and 9,219,426,018 is: 20,034,808,857.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242,506,964 : 9,219,426,018 = 9,219,426,018 : x
  2. Step 2: Convert to fraction form
    4,242,506,964/9,219,426,018 = 9,219,426,018/x
  3. Step 3: Cross multiply
    4,242,506,964x = 9,219,426,018 × 9,219,426,018
  4. Step 4: Simplify right side
    4,242,506,964x = 84,997,816,101,375,328,256
  5. Step 5: Solve for x
    x = 84,997,816,101,375,328,256/4,242,506,964
  6. Step 6: Final answer
    x = 20,034,808,857.74

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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.