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Finding the Third Proportional to 255,547,683 and 555,869,964

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Solution

The third proportional to 255,547,683 and 555,869,964 is: 1,209,134,096.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,547,683 : 555,869,964 = 555,869,964 : x
  2. Step 2: Convert to fraction form
    255,547,683/555,869,964 = 555,869,964/x
  3. Step 3: Cross multiply
    255,547,683x = 555,869,964 × 555,869,964
  4. Step 4: Simplify right side
    255,547,683x = 308,991,416,877,361,280
  5. Step 5: Solve for x
    x = 308,991,416,877,361,280/255,547,683
  6. Step 6: Final answer
    x = 1,209,134,096.81

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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.