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Finding the Third Proportional to 3,328,133,065,213 and 7,157,138,712,329

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Solution

The third proportional to 3,328,133,065,213 and 7,157,138,712,329 is: 15,391,402,189,695.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,328,133,065,213 : 7,157,138,712,329 = 7,157,138,712,329 : x
  2. Step 2: Convert to fraction form
    3,328,133,065,213/7,157,138,712,329 = 7,157,138,712,329/x
  3. Step 3: Cross multiply
    3,328,133,065,213x = 7,157,138,712,329 × 7,157,138,712,329
  4. Step 4: Simplify right side
    3,328,133,065,213x = 51,224,634,547,518,417,571,676,160
  5. Step 5: Solve for x
    x = 51,224,634,547,518,417,571,676,160/3,328,133,065,213
  6. Step 6: Final answer
    x = 15,391,402,189,695.82

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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.