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Finding the Third Proportional to 235,778,683,773 and 512,868,225,786

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Solution

The third proportional to 235,778,683,773 and 512,868,225,786 is: 1,115,596,256,674.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,778,683,773 : 512,868,225,786 = 512,868,225,786 : x
  2. Step 2: Convert to fraction form
    235,778,683,773/512,868,225,786 = 512,868,225,786/x
  3. Step 3: Cross multiply
    235,778,683,773x = 512,868,225,786 × 512,868,225,786
  4. Step 4: Simplify right side
    235,778,683,773x = 263,033,817,020,879,484,223,488
  5. Step 5: Solve for x
    x = 263,033,817,020,879,484,223,488/235,778,683,773
  6. Step 6: Final answer
    x = 1,115,596,256,674.84

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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.