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Finding the Third Proportional to 240,604,940 and 515,741,547

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Solution

The third proportional to 240,604,940 and 515,741,547 is: 1,105,502,419.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,604,940 : 515,741,547 = 515,741,547 : x
  2. Step 2: Convert to fraction form
    240,604,940/515,741,547 = 515,741,547/x
  3. Step 3: Cross multiply
    240,604,940x = 515,741,547 × 515,741,547
  4. Step 4: Simplify right side
    240,604,940x = 265,989,343,301,953,216
  5. Step 5: Solve for x
    x = 265,989,343,301,953,216/240,604,940
  6. Step 6: Final answer
    x = 1,105,502,419.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.