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Finding the Third Proportional to 266,368,460,142 and 621,547,886,160

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Solution

The third proportional to 266,368,460,142 and 621,547,886,160 is: 1,450,328,520,816.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,368,460,142 : 621,547,886,160 = 621,547,886,160 : x
  2. Step 2: Convert to fraction form
    266,368,460,142/621,547,886,160 = 621,547,886,160/x
  3. Step 3: Cross multiply
    266,368,460,142x = 621,547,886,160 × 621,547,886,160
  4. Step 4: Simplify right side
    266,368,460,142x = 386,321,774,789,964,312,084,480
  5. Step 5: Solve for x
    x = 386,321,774,789,964,312,084,480/266,368,460,142
  6. Step 6: Final answer
    x = 1,450,328,520,816.68

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.