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Finding the Third Proportional to 509,502,291.75 and 1,114,398,060.75

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Solution

The third proportional to 509,502,291.75 and 1,114,398,060.75 is: 2,437,443,477.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,502,291.75 : 1,114,398,060.75 = 1,114,398,060.75 : x
  2. Step 2: Convert to fraction form
    509,502,291.75/1,114,398,060.75 = 1,114,398,060.75/x
  3. Step 3: Cross multiply
    509,502,291.75x = 1,114,398,060.75 × 1,114,398,060.75
  4. Step 4: Simplify right side
    509,502,291.75x = 1,241,883,037,803,360,768
  5. Step 5: Solve for x
    x = 1,241,883,037,803,360,768/509,502,291.75
  6. Step 6: Final answer
    x = 2,437,443,477.51

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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.