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Finding the Third Proportional to 226,849,032 and 497,616,528

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Solution

The third proportional to 226,849,032 and 497,616,528 is: 1,091,572,693.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,849,032 : 497,616,528 = 497,616,528 : x
  2. Step 2: Convert to fraction form
    226,849,032/497,616,528 = 497,616,528/x
  3. Step 3: Cross multiply
    226,849,032x = 497,616,528 × 497,616,528
  4. Step 4: Simplify right side
    226,849,032x = 247,622,208,938,774,784
  5. Step 5: Solve for x
    x = 247,622,208,938,774,784/226,849,032
  6. Step 6: Final answer
    x = 1,091,572,693.77

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Why These Related Problems?

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