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Finding the Third Proportional to 255,547,710 and 555,870,016.50

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Solution

The third proportional to 255,547,710 and 555,870,016.50 is: 1,209,134,197.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,547,710 : 555,870,016.50 = 555,870,016.50 : x
  2. Step 2: Convert to fraction form
    255,547,710/555,870,016.50 = 555,870,016.50/x
  3. Step 3: Cross multiply
    255,547,710x = 555,870,016.50 × 555,870,016.50
  4. Step 4: Simplify right side
    255,547,710x = 308,991,475,243,710,272
  5. Step 5: Solve for x
    x = 308,991,475,243,710,272/255,547,710
  6. Step 6: Final answer
    x = 1,209,134,197.46

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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.