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Finding the Third Proportional to 255,771,730,352 and 550,335,966,586

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Solution

The third proportional to 255,771,730,352 and 550,335,966,586 is: 1,184,140,544,779.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,771,730,352 : 550,335,966,586 = 550,335,966,586 : x
  2. Step 2: Convert to fraction form
    255,771,730,352/550,335,966,586 = 550,335,966,586/x
  3. Step 3: Cross multiply
    255,771,730,352x = 550,335,966,586 × 550,335,966,586
  4. Step 4: Simplify right side
    255,771,730,352x = 302,869,676,118,146,910,519,296
  5. Step 5: Solve for x
    x = 302,869,676,118,146,910,519,296/255,771,730,352
  6. Step 6: Final answer
    x = 1,184,140,544,779.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.