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Finding the Third Proportional to 374,872,421,952 and 571,079,402,392.50

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Solution

The third proportional to 374,872,421,952 and 571,079,402,392.50 is: 869,980,464,657.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,872,421,952 : 571,079,402,392.50 = 571,079,402,392.50 : x
  2. Step 2: Convert to fraction form
    374,872,421,952/571,079,402,392.50 = 571,079,402,392.50/x
  3. Step 3: Cross multiply
    374,872,421,952x = 571,079,402,392.50 × 571,079,402,392.50
  4. Step 4: Simplify right side
    374,872,421,952x = 326,131,683,836,974,948,417,536
  5. Step 5: Solve for x
    x = 326,131,683,836,974,948,417,536/374,872,421,952
  6. Step 6: Final answer
    x = 869,980,464,657.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.