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Finding the Third Proportional to 242,572,784 and 527,646,808

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Solution

The third proportional to 242,572,784 and 527,646,808 is: 1,147,742,749.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,572,784 : 527,646,808 = 527,646,808 : x
  2. Step 2: Convert to fraction form
    242,572,784/527,646,808 = 527,646,808/x
  3. Step 3: Cross multiply
    242,572,784x = 527,646,808 × 527,646,808
  4. Step 4: Simplify right side
    242,572,784x = 278,411,153,992,588,864
  5. Step 5: Solve for x
    x = 278,411,153,992,588,864/242,572,784
  6. Step 6: Final answer
    x = 1,147,742,749.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.